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- Character_theory abstract "This article refers to the use of the term character theory in mathematics. For the media studies definition, see Character theory (Media). For related senses of the word character, see Character (mathematics).In mathematics, more specifically in group theory, the character of a group representation is a function on the group that associates to each group element the trace of the corresponding matrix. The character carries the essential information about the representation in a more condensed form. Georg Frobenius initially developed representation theory of finite groups entirely based on the characters, and without any explicit matrix realization of representations themselves. This is possible because a complex representation of a finite group is determined (up to isomorphism) by its character. The situation with representations over a field of positive characteristic, so-called "modular representations", is more delicate, but Richard Brauer developed a powerful theory of characters in this case as well. Many deep theorems on the structure of finite groups use characters of modular representations.".
- Character_theory wikiPageID "691741".
- Character_theory wikiPageRevisionID "603483629".
- Character_theory date "June 2011".
- Character_theory hasPhotoCollection Character_theory.
- Character_theory reason "recursive definition".
- Character_theory title "Character".
- Character_theory urlname "Character".
- Character_theory subject Category:Representation_theory_of_groups.
- Character_theory comment "This article refers to the use of the term character theory in mathematics. For the media studies definition, see Character theory (Media). For related senses of the word character, see Character (mathematics).In mathematics, more specifically in group theory, the character of a group representation is a function on the group that associates to each group element the trace of the corresponding matrix.".
- Character_theory label "Caractère d'une représentation d'un groupe fini".
- Character_theory label "Character theory".
- Character_theory label "Charaktertafel".
- Character_theory label "Teoria dei caratteri".
- Character_theory label "Teoria do caráter".
- Character_theory label "特徵標理論".
- Character_theory sameAs Charaktertafel.
- Character_theory sameAs Caractère_d'une_représentation_d'un_groupe_fini.
- Character_theory sameAs Teoria_dei_caratteri.
- Character_theory sameAs 군_표현의_지표.
- Character_theory sameAs Teoria_do_caráter.
- Character_theory sameAs m.0335cb.
- Character_theory sameAs Q600043.
- Character_theory sameAs Q600043.
- Character_theory wasDerivedFrom Character_theory?oldid=603483629.
- Character_theory isPrimaryTopicOf Character_theory.