- complex group representation
- комплексное представление группы
English-russian dictionary of physics. 2013.
complex group 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
Group representation — In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces; in particular, they can be used to represent group elements as matrices so that the group… … Wikipedia
Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… … 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
Group ring — This page discusses the algebraic group ring of a discrete group; for the case of a topological group see group algebra, and for a general group see Group Hopf algebra. In algebra, a group ring is a free module and at the same time a ring,… … 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
Group algebra — This page discusses topological algebras associated to topological groups; for the purely algebraic case of discrete groups see group ring. In mathematics, the group algebra is any of various constructions to assign to a locally compact group an… … Wikipedia
Complex system biology — Complex systems biology (CSB) is a branch or subfield of mathematical and theoretical biology concerned with complexity of both structure and function in biological organisms, as well as the emergence and evolution of organisms and species, with… … Wikipedia
Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… … Wikipedia
Representation (arts) — Representation describes the signs that stand in for and take the place of something else.Mitchell, W. 1995, Representation , in F Lentricchia T McLaughlin (eds), Critical Terms for Literary Study , 2nd edn, University of Chicago Press, Chicago]… … Wikipedia
group — I noun affiliation, aggregate, array, assemblage, assembly, association, band, bracket, branch, category, circle, class, classification, clique, cluster, coalition, collection, community, conglomeration, constituency, corps, crowd, denomination,… … Law dictionary
