What does character theory mean?
Definitions for character theory
char·ac·ter the·o·ry
This dictionary definitions page includes all the possible meanings, example usage and translations of the word character theory.
Wiktionary
character theorynoun
The branch of abstract algebra dealing with group characters.
Wikipedia
Character theory
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.
Wikidata
Character theory
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 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.
Numerology
Chaldean Numerology
The numerical value of character theory in Chaldean Numerology is: 5
Pythagorean Numerology
The numerical value of character theory in Pythagorean Numerology is: 6
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"character theory." Definitions.net. STANDS4 LLC, 2024. Web. 18 Apr. 2024. <https://www.definitions.net/definition/character+theory>.
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