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<http://dbpedia.org/resource/Projective_representation>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\uAD70 \uD45C\uD604\uB860\uC5D0\uC11C, \uC0AC\uC601 \uD45C\uD604(\u5C04\u5F71\u8868\u73FE, \uC601\uC5B4: projective representation)\uC740 \uC5B4\uB5A4 \uAD70\uC758 \uC6D0\uC18C\uB4E4\uC744 \uC5B4\uB5A4 \uBCA1\uD130 \uACF5\uAC04 \uC704\uC758 \uD589\uB82C \uB610\uB294 \uC120\uD615 \uBCC0\uD658\uC73C\uB85C \uB098\uD0C0\uB0B4\uB418, \uD589\uB82C\uB85C\uC11C\uC758 \uAD50\uD658\uC790\uAC00 \uAD70\uC758 \uC5F0\uC0B0\uACFC \uB2E8\uC704 \uD589\uB82C\uC758 \uC2A4\uCE7C\uB77C\uBC30\uB9CC\uD07C \uB2E4\uB978 \uAC83\uC744 \uD5C8\uC6A9\uD55C \uAC83\uC774\uB2E4."@ko .
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<http://dbpedia.org/resource/Projective_representation>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u041F\u0440\u043E\u0435\u043A\u0442\u0438\u0432\u043D\u043E\u0435 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0435 \u0433\u0440\u0443\u043F\u043F\u044B \u043D\u0430 \u0432\u0435\u043A\u0442\u043E\u0440\u043D\u043E\u043C \u043F\u0440\u043E\u0441\u0442\u0440\u0430\u043D\u0441\u0442\u0432\u0435 \u043D\u0430\u0434 \u043F\u043E\u043B\u0435\u043C \u2014 \u044D\u0442\u043E \u0433\u043E\u043C\u043E\u043C\u043E\u0440\u0444\u0438\u0437\u043C \u0432 \u043F\u0440\u043E\u0435\u043A\u0442\u0438\u0432\u043D\u0443\u044E \u0433\u0440\u0443\u043F\u043F\u0443 \u0433\u0434\u0435 \u2014 \u043F\u043E\u043B\u043D\u0430\u044F \u043B\u0438\u043D\u0435\u0439\u043D\u0430\u044F \u0433\u0440\u0443\u043F\u043F\u0430, \u0430 \u2014 \u043D\u043E\u0440\u043C\u0430\u043B\u044C\u043D\u0430\u044F \u043F\u043E\u0434\u0433\u0440\u0443\u043F\u043F\u0430, \u0441\u043E\u0441\u0442\u043E\u044F\u0449\u0430\u044F \u0438\u0437 \u0441\u043A\u0430\u043B\u044F\u0440\u043D\u044B\u0445 \u043C\u043D\u043E\u0436\u0438\u0442\u0435\u043B\u0435\u0439 \u0442\u043E\u0436\u0434\u0435\u0441\u0442\u0432\u0435\u043D\u043D\u043E\u0433\u043E \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0430. \u0418\u043D\u044B\u043C\u0438 \u0441\u043B\u043E\u0432\u0430\u043C\u0438, \u044D\u0442\u043E \u043D\u0430\u0431\u043E\u0440 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u043E\u0432 \u0442\u0430\u043A\u0438\u0445, \u0447\u0442\u043E \u0434\u043B\u044F \u043D\u0435\u043A\u043E\u0442\u043E\u0440\u043E\u0439 \u043A\u043E\u043D\u0441\u0442\u0430\u043D\u0442\u044B . \u0412\u0430\u0436\u043D\u0435\u0439\u0448\u0438\u043C \u0441\u043B\u0443\u0447\u0430\u0435\u043C \u044F\u0432\u043B\u044F\u044E\u0442\u0441\u044F \u043F\u0440\u043E\u0435\u043A\u0442\u0438\u0432\u043D\u044B\u0435 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u044F \u0433\u0440\u0443\u043F\u043F \u041B\u0438, \u0438\u0437\u0443\u0447\u0435\u043D\u0438\u0435 \u043A\u043E\u0442\u043E\u0440\u044B\u0445 \u043F\u0440\u0438\u0432\u043E\u0434\u0438\u0442 \u043A \u0440\u0430\u0441\u0441\u043C\u043E\u0442\u0440\u0435\u043D\u0438\u044E \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0439 \u0438\u0445 \u0446\u0435\u043D\u0442\u0440\u0430\u043B\u044C\u043D\u044B\u0445 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043D\u0438\u0439. \u0412\u043E \u043C\u043D\u043E\u0433\u0438\u0445 \u0438\u043D\u0442\u0435\u0440\u0435\u0441\u043D\u044B\u0445 \u0441\u043B\u0443\u0447\u0430\u044F\u0445 \u0434\u043E\u0441\u0442\u0430\u0442\u043E\u0447\u043D\u043E \u0438\u0441\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u044C \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u044F \u043D\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0438\u0445 \u0433\u0440\u0443\u043F\u043F, \u043A\u043E\u0442\u043E\u0440\u044B\u043C \u0441\u043E\u043E\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044E\u0442 \u043F\u0440\u043E\u0435\u043A\u0442\u0438\u0432\u043D\u044B\u0435 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u044F \u043D\u0430\u043A\u0440\u044B\u0432\u0430\u0435\u043C\u043E\u0439 \u0433\u0440\u0443\u043F\u043F\u044B:"@ru .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Heisenberg_group> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Normal_subgroup> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Symplectic_group> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Projective_linear_group> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Coset> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Special_unitary_group> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Representation_theory_of_SL2(R)> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Slink> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Category:Representation_theory> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Poincar\u00E9_group> .
<http://dbpedia.org/resource/Projective_representation>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://www.w3.org/2002/07/owl#Thing> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Group_representation> .
<http://dbpedia.org/resource/Projective_representation>	<http://purl.org/dc/terms/subject>	<http://dbpedia.org/resource/Category:Representation_theory> .
<http://dbpedia.org/resource/Projective_representation>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u5C04\u5F71\u8868\u793A"@zh .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Reflist> .
<http://dbpedia.org/resource/Projective_representation>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u041F\u0440\u043E\u0435\u043A\u0442\u0438\u0432\u043D\u043E\u0435 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0435"@ru .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Lie_algebra_cohomology> .
<http://dbpedia.org/resource/Projective_representation>	<http://www.w3.org/2000/01/rdf-schema#comment>	"In the field of representation theory in mathematics, a projective representation of a group G on a vector space V over a field F is a group homomorphism from G to the projective linear group where GL(V) is the general linear group of invertible linear transformations of V over F, and F\u2217 is the normal subgroup consisting of nonzero scalar multiples of the identity transformation (see Scalar transformation). In more concrete terms, a projective representation of is a collection of operators satisfying the homomorphism property up to a constant:"@en .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Pin_group> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://gdz.sub.uni-goettingen.de/no_cache/en/dms/load/img/%3FIDDOC=261150> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Group_action_(mathematics)> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/abstract>	"\u5728\u8868\u793A\u8BBA\u4E2D\uFF0C\u7FA4 \u5728\u57DF \u4E0A\u7684\u5411\u91CF\u7A7A\u9593 \u4E0A\u7684\u5C04\u5F71\u8868\u793A\u6307\u4ECE\u5230\u5C04\u5F71\u7EBF\u6027\u7FA4\u7684\u4E00\u500B\u7FA4\u540C\u614B \u5176\u4E2D \u8868\u793A\u5728\u57DF\u4E0A\u5411\u91CF\u7A7A\u9593 \u7684\u53EF\u9006\u7EBF\u6027\u53D8\u6362\u6784\u6210\u7684\u4E00\u822C\u7EBF\u6027\u7FA4\uFF0C\u800C \u8996\u70BA\u7D14\u91CF\u7A4D\u6620\u5C04 \uFF0C\u5176\u4E2D \u3002 \u82E5 \u7DAD\u5EA6\u6709\u9650\uFF0C\u9078\u5B9A\u57FA\u5E95\u5F8C\u53EF\u5C07 \u7406\u89E3\u70BA \uFF0C\u5373 \u968E\u53EF\u9006\u77E9\u9663\u5C0D\u6B63\u898F\u5B50\u7FA4 \u4E4B\u5546\u7FA4\u3002 \u5C0D\u65BC\u7D66\u5B9A\u7684\u7FA4\u8868\u793A \uFF0C\u8207\u5546\u6620\u5C04 \u5408\u6210\u5F8C\u53EF\u5F97\u5230\u4E00\u500B\u5C04\u5F71\u8868\u793A\u3002\u8F03\u5E38\u63A2\u8A0E\u7684\u662F\u9006\u5411\u7684\u554F\u984C\uFF1A\u5982\u4F55\u5C07\u4E00\u500B\u5C04\u5F71\u8868\u793A \u63D0\u5347\u81F3\u4E00\u500B\u8868\u793A \uFF0C\u4F7F\u5F97 \uFF1F \u5C0D\u65BC\u63D0\u5347\u554F\u984C\uFF0C\u901A\u5E38\u63A1\u53D6\u5982\u4E0B\u9032\u8DEF\uFF1A\u53D6\u540C\u614B \u8207 \u7684\u7E96\u7DAD\u7A4D\uFF0C\u5F97\u5230\u4E00\u500B\u4E2D\u5FC3\u64F4\u5F35 \u5176\u4E2D \u3002 \u9019\u985E\u64F4\u5F35\u7531\u7FA4\u4E0A\u540C\u8ABF \u5206\u985E\u3002\u82E5\u6B64\u64F4\u5F35\u662F\u5E73\u51E1\u7684\uFF0C\u5247 \u53EF\u63D0\u5347\u81F3 \u7684\u8868\u793A\u3002\u5373\u4F7F\u6B64\u8868\u793A\u7121\u6CD5\u63D0\u5347\uFF0C\u4ECD\u53EF\u9000\u800C\u6C42\u5176\u6B21\uFF0C\u85C9\u7FA4\u4E0A\u540C\u8ABF\u7814\u7A76\u64F4\u5F35\u7684\u6027\u8CEA\uFF0C\u4F8B\u5982\uFF1A\u64F4\u5F35\u5C0D\u61C9\u7684\u4E0A\u540C\u8ABF\u985E \u6EFF\u8DB3 \u82E5\u4E14\u552F\u82E5 \u53EF\u63D0\u6607\u70BA\u67D0\u500B\u4E2D\u5FC3\u64F4\u5F35 \u7684 \u7684\u8868\u793A\u3002"@zh .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Covering_group> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/M\u00F6bius_group> .
<http://dbpedia.org/resource/Projective_representation>	<http://www.w3.org/2002/07/owl#sameAs>	<http://fr.dbpedia.org/resource/Repr\u00E9sentation_projective> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Mathematics> .
<http://dbpedia.org/resource/Projective_representation>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Im Bereich der mathematischen Darstellungstheorie ist eine projektive Darstellung einer Gruppe G auf einem Vektorraum V \u00FCber einem K\u00F6rper K ein Homomorphismus von G in die projektive lineare Gruppe:"@de .
<http://dbpedia.org/resource/Projective_representation>	<http://www.w3.org/2000/01/rdf-schema#label>	"\uC0AC\uC601 \uD45C\uD604"@ko .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Representation_theory_of_SU(2)> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/abstract>	"\u041F\u0440\u043E\u0435\u043A\u0442\u0438\u0432\u043D\u043E\u0435 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0435 \u0433\u0440\u0443\u043F\u043F\u044B \u043D\u0430 \u0432\u0435\u043A\u0442\u043E\u0440\u043D\u043E\u043C \u043F\u0440\u043E\u0441\u0442\u0440\u0430\u043D\u0441\u0442\u0432\u0435 \u043D\u0430\u0434 \u043F\u043E\u043B\u0435\u043C \u2014 \u044D\u0442\u043E \u0433\u043E\u043C\u043E\u043C\u043E\u0440\u0444\u0438\u0437\u043C \u0432 \u043F\u0440\u043E\u0435\u043A\u0442\u0438\u0432\u043D\u0443\u044E \u0433\u0440\u0443\u043F\u043F\u0443 \u0433\u0434\u0435 \u2014 \u043F\u043E\u043B\u043D\u0430\u044F \u043B\u0438\u043D\u0435\u0439\u043D\u0430\u044F \u0433\u0440\u0443\u043F\u043F\u0430, \u0430 \u2014 \u043D\u043E\u0440\u043C\u0430\u043B\u044C\u043D\u0430\u044F \u043F\u043E\u0434\u0433\u0440\u0443\u043F\u043F\u0430, \u0441\u043E\u0441\u0442\u043E\u044F\u0449\u0430\u044F \u0438\u0437 \u0441\u043A\u0430\u043B\u044F\u0440\u043D\u044B\u0445 \u043C\u043D\u043E\u0436\u0438\u0442\u0435\u043B\u0435\u0439 \u0442\u043E\u0436\u0434\u0435\u0441\u0442\u0432\u0435\u043D\u043D\u043E\u0433\u043E \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0430. \u0418\u043D\u044B\u043C\u0438 \u0441\u043B\u043E\u0432\u0430\u043C\u0438, \u044D\u0442\u043E \u043D\u0430\u0431\u043E\u0440 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u043E\u0432 \u0442\u0430\u043A\u0438\u0445, \u0447\u0442\u043E \u0434\u043B\u044F \u043D\u0435\u043A\u043E\u0442\u043E\u0440\u043E\u0439 \u043A\u043E\u043D\u0441\u0442\u0430\u043D\u0442\u044B . \u041D\u0435\u043A\u043E\u0442\u043E\u0440\u044B\u0435 \u043F\u0440\u043E\u0435\u043A\u0442\u0438\u0432\u043D\u044B\u0435 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u044F \u043C\u043E\u0436\u043D\u043E \u043F\u043E\u043B\u0443\u0447\u0438\u0442\u044C \u0438\u0437 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0439 \u0441 \u043F\u043E\u043C\u043E\u0449\u044C\u044E \u0444\u0430\u043A\u0442\u043E\u0440\u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u044F . \u041E\u0441\u043E\u0431\u044B\u0439 \u0438\u043D\u0442\u0435\u0440\u0435\u0441 \u0434\u043B\u044F \u0430\u043B\u0433\u0435\u0431\u0440\u044B \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u044F\u0435\u0442 \u0441\u0438\u0442\u0443\u0430\u0446\u0438\u044F, \u043A\u043E\u0433\u0434\u0430 \u0434\u0430\u043D\u043D\u043E\u0435 \u043F\u0440\u043E\u0435\u043A\u0442\u0438\u0432\u043D\u043E\u0435 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0435 \u043C\u043E\u0436\u0435\u0442 \u0431\u044B\u0442\u044C \u00AB\u043F\u043E\u0434\u043D\u044F\u0442\u043D\u043E\u00BB \u0434\u043E \u043E\u0431\u044B\u0447\u043D\u043E\u0433\u043E \u043B\u0438\u043D\u0435\u0439\u043D\u043E\u0433\u043E \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u044F \u0432 \u043E\u0431\u0449\u0435\u043C \u0441\u043B\u0443\u0447\u0430\u0435 \u043F\u0440\u0435\u043F\u044F\u0442\u0441\u0442\u0432\u0438\u044F \u043A \u044D\u0442\u043E\u043C\u0443 \u043E\u043F\u0438\u0441\u044B\u0432\u0430\u044E\u0442\u0441\u044F \u043A\u043E\u0433\u043E\u043C\u043E\u043B\u043E\u0433\u0438\u044F\u043C\u0438 \u0433\u0440\u0443\u043F\u043F. \u0412\u0430\u0436\u043D\u0435\u0439\u0448\u0438\u043C \u0441\u043B\u0443\u0447\u0430\u0435\u043C \u044F\u0432\u043B\u044F\u044E\u0442\u0441\u044F \u043F\u0440\u043E\u0435\u043A\u0442\u0438\u0432\u043D\u044B\u0435 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u044F \u0433\u0440\u0443\u043F\u043F \u041B\u0438, \u0438\u0437\u0443\u0447\u0435\u043D\u0438\u0435 \u043A\u043E\u0442\u043E\u0440\u044B\u0445 \u043F\u0440\u0438\u0432\u043E\u0434\u0438\u0442 \u043A \u0440\u0430\u0441\u0441\u043C\u043E\u0442\u0440\u0435\u043D\u0438\u044E \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0439 \u0438\u0445 \u0446\u0435\u043D\u0442\u0440\u0430\u043B\u044C\u043D\u044B\u0445 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043D\u0438\u0439. \u0412\u043E \u043C\u043D\u043E\u0433\u0438\u0445 \u0438\u043D\u0442\u0435\u0440\u0435\u0441\u043D\u044B\u0445 \u0441\u043B\u0443\u0447\u0430\u044F\u0445 \u0434\u043E\u0441\u0442\u0430\u0442\u043E\u0447\u043D\u043E \u0438\u0441\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u044C \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u044F \u043D\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0438\u0445 \u0433\u0440\u0443\u043F\u043F, \u043A\u043E\u0442\u043E\u0440\u044B\u043C \u0441\u043E\u043E\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044E\u0442 \u043F\u0440\u043E\u0435\u043A\u0442\u0438\u0432\u043D\u044B\u0435 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u044F \u043D\u0430\u043A\u0440\u044B\u0432\u0430\u0435\u043C\u043E\u0439 \u0433\u0440\u0443\u043F\u043F\u044B: \n* \u0421\u043F\u0435\u0446\u0438\u0430\u043B\u044C\u043D\u0430\u044F \u043E\u0440\u0442\u043E\u0433\u043E\u043D\u0430\u043B\u044C\u043D\u0430\u044F \u0433\u0440\u0443\u043F\u043F\u0430 \u0434\u0432\u0430\u0436\u0434\u044B \u043D\u0430\u043A\u0440\u044B\u0432\u0430\u0435\u0442\u0441\u044F \u0441\u043F\u0438\u043D\u043E\u0440\u043D\u043E\u0439 \u0433\u0440\u0443\u043F\u043F\u043E\u0439 . \n* \u0412 \u0447\u0430\u0441\u0442\u043D\u043E\u0441\u0442\u0438, \u0433\u0440\u0443\u043F\u043F\u0430 \u0432\u0440\u0430\u0449\u0435\u043D\u0438\u0439 \u0442\u0440\u0451\u0445\u043C\u0435\u0440\u043D\u043E\u0433\u043E \u043F\u0440\u043E\u0441\u0442\u0440\u0430\u043D\u0441\u0442\u0432\u0430 \u043D\u0430\u043A\u0440\u044B\u0432\u0430\u0435\u0442\u0441\u044F , \u0438\u0437\u0443\u0447\u0435\u043D\u0438\u0435 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0439 \u043A\u043E\u0442\u043E\u0440\u043E\u0439 \u0441\u043E\u043E\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043D\u043D\u043E \u0438\u043C\u0435\u0435\u0442 \u0432\u0430\u0436\u043D\u0435\u0439\u0448\u0435\u0435 \u0437\u043D\u0430\u0447\u0435\u043D\u0438\u0435 \u0434\u043B\u044F \u043D\u0435\u0440\u0435\u043B\u044F\u0442\u0438\u0432\u0438\u0441\u0442\u0441\u043A\u043E\u0439 \u0442\u0435\u043E\u0440\u0438\u0438 \u0441\u043F\u0438\u043D\u0430. \n* \u0410\u043D\u0430\u043B\u043E\u0433\u0438\u0447\u043D\u043E, \u0440\u0435\u043B\u044F\u0442\u0438\u0432\u0438\u0441\u0442\u0441\u043A\u0430\u044F \u0442\u0435\u043E\u0440\u0438\u044F \u0441\u043F\u0438\u043D\u0430 \u043D\u0430\u0447\u0438\u043D\u0430\u0435\u0442\u0441\u044F \u0441 \u0440\u0430\u0441\u0441\u043C\u043E\u0442\u0440\u0435\u043D\u0438\u044F \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0439 \u0443\u043D\u0438\u0432\u0435\u0440\u0441\u0430\u043B\u044C\u043D\u043E\u0433\u043E \u043D\u0430\u043A\u0440\u044B\u0442\u0438\u044F \u0433\u0440\u0443\u043F\u043F\u044B \u041B\u043E\u0440\u0435\u043D\u0446\u0430 . \n* \u0423\u043D\u0438\u0432\u0435\u0440\u0441\u0430\u043B\u044C\u043D\u043E\u0435 \u043D\u0430\u043A\u0440\u044B\u0442\u0438\u0435 \u0433\u0440\u0443\u043F\u043F\u044B \u041F\u0443\u0430\u043D\u043A\u0430\u0440\u0435 \u0435\u0441\u0442\u044C \u043F\u043E\u043B\u0443\u043F\u0440\u044F\u043C\u043E\u0435 \u043F\u0440\u043E\u0438\u0437\u0432\u0435\u0434\u0435\u043D\u0438\u0435 , \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u044F \u043A\u043E\u0442\u043E\u0440\u043E\u0439 \u0434\u0430\u044E\u0442 \u043D\u0430\u043C \u043A\u043B\u0430\u0441\u0441\u0438\u0444\u0438\u043A\u0430\u0446\u0438\u044E \u0412\u0438\u0433\u043D\u0435\u0440\u0430 \u0447\u0430\u0441\u0442\u0438\u0446 \u0438 \u043F\u043E\u043B\u0435\u0439 \u0432 \u0444\u0438\u0437\u0438\u043A\u0435. \u0422\u0435\u043E\u0440\u0435\u043C\u0430 \u0411\u0430\u0440\u0433\u043C\u0430\u043D\u0430 \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0430\u0435\u0442, \u0447\u0442\u043E \u0435\u0441\u043B\u0438 \u0434\u0432\u0443\u043C\u0435\u0440\u043D\u044B\u0435 \u043A\u043E\u0433\u043E\u043C\u043E\u043B\u043E\u0433\u0438\u0438 \u0430\u043B\u0433\u0435\u0431\u0440\u044B \u041B\u0438 \u0442\u0440\u0438\u0432\u0438\u0430\u043B\u044C\u043D\u044B, \u0442\u043E \u0432\u0441\u044F\u043A\u043E\u0435 \u043F\u0440\u043E\u0435\u043A\u0442\u0438\u0432\u043D\u043E\u0435 \u0443\u043D\u0438\u0442\u0430\u0440\u043D\u043E\u0435 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0435 \u043C\u043E\u0436\u0435\u0442 \u0431\u044B\u0442\u044C \u043F\u043E\u0434\u043D\u044F\u0442\u043D\u043E \u0434\u043E \u043E\u0431\u044B\u0447\u043D\u043E\u0433\u043E \u0443\u043D\u0438\u0442\u0430\u0440\u043D\u043E\u0433\u043E \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u044F . \u0423\u0441\u043B\u043E\u0432\u0438\u044F \u0442\u0435\u043E\u0440\u0435\u043C\u044B \u0432\u044B\u043F\u043E\u043B\u043D\u0435\u043D\u044B, \u0432 \u0447\u0430\u0441\u0442\u043D\u043E\u0441\u0442\u0438, \u0434\u043B\u044F \u043F\u043E\u043B\u0443\u043F\u0440\u043E\u0441\u0442\u044B\u0445 \u0433\u0440\u0443\u043F\u043F \u041B\u0438 \u0438 \u0433\u0440\u0443\u043F\u043F\u044B \u041F\u0443\u0430\u043D\u043A\u0430\u0440\u0435."@ru .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Annals_of_Mathematics> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Lorentz_group> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/abstract>	"In the field of representation theory in mathematics, a projective representation of a group G on a vector space V over a field F is a group homomorphism from G to the projective linear group where GL(V) is the general linear group of invertible linear transformations of V over F, and F\u2217 is the normal subgroup consisting of nonzero scalar multiples of the identity transformation (see Scalar transformation). In more concrete terms, a projective representation of is a collection of operators satisfying the homomorphism property up to a constant: for some constant . Equivalently, a projective representation of is a collection of operators , such that . Note that, in this notation, is a set of linear operators related by multiplication with some nonzero scalar. If it is possible to choose a particular representative in each family of operators in such a way that the homomorphism property is satisfied on the nose, rather than just up to a constant, then we say that can be \"de-projectivized\", or that can be \"lifted to an ordinary representation\". More concretely, we thus say that can be de-projectivized if there are for each such that . This possibility is discussed further below."@en .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Oscillator_representation> .
<http://dbpedia.org/resource/Projective_representation>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Citation> .