Bicharacter

/ˌbaɪˈkær.ək.tər/

/ˌbaɪˈkær.ɪk.tɚ/

Translation of "bicharacter" into Russian

Noun

/ˌbaɪˈkær.ək.tər/

/ˌbaɪˈkær.ɪk.tɚ/

bicharacter

bicharacters pl

бихарактер

The mathematician studied the properties of the bicharacter in the algebraic structure.

Математик изучал свойства бихарактера в алгебраической структуре.

Noun

/ˌbaɪˈkær.ək.tər/

/ˌbaɪˈkær.ɪk.tɚ/

A function χ : G × H → ℂ× that is multiplicative (a group homomorphism) in each argument separately; a bilinear character on a pair of groups.

A non-degenerate bicharacter on a finite abelian group yields an isomorphism between the group and its character group.

Adjective

/ˌbaɪˈkær.ək.tər/

/ˌbaɪˈkær.ɪk.tɚ/

Relating to or involving a mathematical bicharacter.

The bicharacter pairing endows the category with a braided structure.