- conjugate representation
- мат. сопряженное представление
Большой англо-русский и русско-английский словарь. 2001.
conjugate representation
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Complex conjugate representation — In mathematics, if G is a group and ρ is a representation of it over the complex vector space V, then the complex conjugate representation ρ* is defined over the conjugate vector space V* as follows: ρ*(g) is the conjugate of ρ(g) for all g in G … 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
Représentation conjuguée — Pour les articles homonymes, voir Conjugaison (homonymie). En algèbre, si ρ est une représentation de groupe ou une représentation d algèbre de Lie sur un espace vectoriel complexe V, on définit sa représentation conjuguée ρ sur le conjugué V de… … Wikipédia en Français
Représentation galoisienne — La théorie des représentations galoisiennes est l application naturelle de la théorie des représentations à la théorie algébrique des nombres. Un module galoisien est un module sur lequel agit un groupe de Galois G. Ces modules seront par exemple … Wikipédia en Français
Real representation — In the mathematical field of representation theory a real representation is usually a representation on a real vector space U , but it can also mean a representation on a complex vector space V with an invariant real structure, i.e., an… … Wikipedia
Quaternionic representation — In mathematical field of representation theory, a quaternionic representation is a representation on a complex vector space V with an invariant quaternionic structure, i.e., an antilinear equivariant map:jcolon V o V, which satisfies:j^2=… … Wikipedia
Dual representation — In mathematics, if G is a group and ρ is a linear representation of it on the vector space V, then the dual representation ρ is defined over the dual vector space V as follows[1]: ρ(g) is the transpose of ρ(g−1) for all g in G. Then ρ is also a… … Wikipedia
Discrete series representation — In mathematics, a discrete series representation is an irreducible unitary representation of a locally compact topological group G that is a subrepresentation of the left regular representation of G on L²(G). In the Plancherel measure, such… … Wikipedia
Complex representation — The term complex representation has slightly different meanings in mathematics and physics. In mathematics, a complex representation is a group representation of a group (or Lie algebra) on a complex vector space. In physics, a complex… … Wikipedia
Complex conjugate — Geometric representation of z and its conjugate in the complex plane In mathematics, complex conjugates are a pair of complex numbers, both having the same real part, but with imaginary parts of equal magni … Wikipedia
Modular representation theory — is a branch of mathematics, and that part of representation theory that studies linear representations of finite group G over a field K of positive characteristic. As well as having applications to group theory, modular representations arise… … Wikipedia
