In number theory, a cyclotomic character is a character of a Galois group giving the Galois action on a group of roots of unity. As a one-dimensional representation over a ring R, its representation space is generally denoted by R(1) (that is, it is a representation χ : G → AutR(R(1)) ≈ GL(1, R)).
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| - Cyclotomic character (en)
- 円分指標 (ja)
- Cyklotomisk karaktär (sv)
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| - In number theory, a cyclotomic character is a character of a Galois group giving the Galois action on a group of roots of unity. As a one-dimensional representation over a ring R, its representation space is generally denoted by R(1) (that is, it is a representation χ : G → AutR(R(1)) ≈ GL(1, R)). (en)
- 円分指標 (えんぶんしひょう Cyclotomic_character） In number theory, a cyclotomic character is a character of a Galois group giving the Galois action on a group of roots of unity. As a one-dimensional representation over a ring R, its representation space is generally denoted by R(1) (that is, it is a representation χ : G → AutR(R(1)) ≈ GL(1, R)). (ja)
- Inom matematiken är en cyklotomisk karaktär en av en Galoisgrupp som ger Galoisverkan på en grupp av enhetsrötter. Som en endimensionell över en ring R är dess i allmänhet betecknad med R(1) (det vill säga den är en representation χ : G → AutR(R(1)) ≈ GL(1, R)). (sv)
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| - In number theory, a cyclotomic character is a character of a Galois group giving the Galois action on a group of roots of unity. As a one-dimensional representation over a ring R, its representation space is generally denoted by R(1) (that is, it is a representation χ : G → AutR(R(1)) ≈ GL(1, R)). (en)
- 円分指標 (えんぶんしひょう Cyclotomic_character） In number theory, a cyclotomic character is a character of a Galois group giving the Galois action on a group of roots of unity. As a one-dimensional representation over a ring R, its representation space is generally denoted by R(1) (that is, it is a representation χ : G → AutR(R(1)) ≈ GL(1, R)). (ja)
- Inom matematiken är en cyklotomisk karaktär en av en Galoisgrupp som ger Galoisverkan på en grupp av enhetsrötter. Som en endimensionell över en ring R är dess i allmänhet betecknad med R(1) (det vill säga den är en representation χ : G → AutR(R(1)) ≈ GL(1, R)). (sv)
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