About: Brauer–Wall group

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In mathematics, the Brauer–Wall group or super Brauer group or graded Brauer group for a field F is a group BW(F) classifying finite-dimensional graded central division algebras over the field. It was first defined by Terry Wall as a generalization of the Brauer group.

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rdf:type	yago:Abstraction100002137 yago:Form106290637 yago:LanguageUnit106284225 yago:Part113809207 yago:Relation100031921 yago:Word106286395 yago:WikicatQuadraticForms
rdfs:label	Brauer–Wall group (en)
rdfs:comment	In mathematics, the Brauer–Wall group or super Brauer group or graded Brauer group for a field F is a group BW(F) classifying finite-dimensional graded central division algebras over the field. It was first defined by Terry Wall as a generalization of the Brauer group. (en)
dcterms:subject	Quadratic forms Super linear algebra Field (mathematics)
Wikipage page ID	36842500 (xsd:integer)
Wikipage revision ID	964393709 (xsd:integer)
Link from a Wikipage to another Wikipage	Witt group Quadratic forms Mathematics Clifford algebra Graded algebra Super linear algebra Division algebra American Mathematical Society Field (algebra) Brauer group Graduate Studies in Mathematics Field (mathematics) Bott periodicity Group (algebra) Journal für die reine und angewandte Mathematik Determinant of a quadratic form Witt–Grothendieck ring
Link from a Wikipage to an external page	http://resolver.sub.uni-goettingen.de/purl%3FGDZPPN002180359 http://www.math.ias.edu/QFT
sameAs	Brauer–Wall group Brauer–Wall group Brauer–Wall group
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Harvtxt dbt:Reflist dbt:Harvs
authorlink	Terry Wall (en)
first	Terry (en)
last	Wall (en)
year	1964 (xsd:integer)
has abstract	In mathematics, the Brauer–Wall group or super Brauer group or graded Brauer group for a field F is a group BW(F) classifying finite-dimensional graded central division algebras over the field. It was first defined by Terry Wall as a generalization of the Brauer group. The Brauer group of a field F is the set of the similarity classes of finite dimensional central simple algebras over F under the operation of tensor product, where two algebras are called similar if the commutants of their simple modules are isomorphic. Every similarity class contains a unique division algebra, so the elements of the Brauer group can also be identified with isomorphism classes of finite dimensional central division algebras. The analogous construction for Z/2Z-graded algebras defines the Brauer–Wall group BW(F). (en)
gold:hypernym	BW
prov:wasDerivedFrom	wikipedia-en:Brauer–Wall_group?oldid=964393709&ns=0
page length (characters) of wiki page	4669 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Brauer–Wall_group
is Link from a Wikipage to another Wikipage of	Brauer-Wall group Witt group Graded (mathematics) C. T. C. Wall Graded Brauer group Super Brauer group Clifford invariant
is Wikipage redirect of	Brauer-Wall group Graded Brauer group Super Brauer group Clifford invariant
is foaf:primaryTopic of	wikipedia-en:Brauer–Wall_group

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