finite character
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Set system of finite character — A family mathcal{F} of sets is of finite character provided it has the following properties: #For each Ain mathcal{F}, every finite subset of A belongs to mathcal{F}. #If every finite subset of a given set A belongs to mathcal{F}, then A belongs… … Wikipedia
Character theory — This article refers to the use of the term character theory in mathematics. For the media studies definition, see Character theory (Media). In mathematics, more specifically in group theory, the character of a group representation is a function… … Wikipedia
Character table — Main article: Character theory In group theory, a character table is a two dimensional table whose rows correspond to irreducible group representations, and whose columns correspond to classes of group elements. The entries consist of characters … Wikipedia
Character group — In mathematics, a character group is the group of representations of a group by complex valued functions. These functions can be thought of as one dimensional matrix representations and so are special cases of the group characters which arises in … Wikipedia
Character (mathematics) — In mathematics, a character is (most commonly) a special kind of function from a group to a field (such as the complex numbers). There are at least two distinct, but overlapping meanings. Other uses of the word character are almost always… … Wikipedia
Character sum — In mathematics, a character sum is a sum of values of a Dirichlet character χ modulo N, taken over a given range of values of n. Such sums are basic in a number of questions, for example in the distribution of quadratic residues, and in… … Wikipedia
Representation theory of finite groups — In mathematics, representation theory is a technique for analyzing abstract groups in terms of groups of linear transformations. See the article on group representations for an introduction. This article discusses the representation theory of… … Wikipedia
Hecke character — In mathematics, in the field of number theory, a Hecke character is a generalisation of a Dirichlet character, introduced by Erich Hecke to construct a class of L functions larger than Dirichlet L functions, and a natural setting for the Dedekind … Wikipedia
Classification of finite simple groups — Group theory Group theory … Wikipedia
Algebraic character — is a formal expression attached to a module in representation theory of semisimple Lie algebras that generalizes the character of a finite dimensional representation and is analogous to the Harish Chandra character of the representations of… … Wikipedia
Weyl character formula — In mathematics, the Weyl character formula in representation theory describes the characters of irreducible representations of compact Lie groups in terms of their highest weights. It is named after Hermann Weyl, who proved it in the late… … Wikipedia
