- orthogonal groups
- мат. ортогональные группа
Большой англо-русский и русско-английский словарь. 2001.
orthogonal groups
Смотреть что такое "orthogonal groups" в других словарях:
Orthogonal group — Group theory Group theory … Wikipedia
Orthogonal matrix — In linear algebra, an orthogonal matrix (less commonly called orthonormal matrix[1]), is a square matrix with real entries whose columns and rows are orthogonal unit vectors (i.e., orthonormal vectors). Equivalently, a matrix Q is orthogonal if… … Wikipedia
Orthogonal symmetric Lie algebra — In mathematics, an orthogonal symmetric Lie algebra is a pair consisting of a real Lie algebra and an automorphism s of of order 2 such that the eigenspace of s corrsponding to 1 (i.e., the set of fixed points) is a compact subalgebra. If compa … Wikipedia
Indefinite orthogonal group — In mathematics, the indefinite orthogonal group, O( p , q ) is the Lie group of all linear transformations of a n = p + q dimensional real vector space which leave invariant a nondegenerate, symmetric bilinear form of signature ( p , q ). The… … Wikipedia
Automorphisms of the symmetric and alternating groups — In group theory, a branch of mathematics, the automorphisms and outer automorphisms of the symmetric groups and alternating groups are both standard examples of these automorphisms, and objects of study in their own right, particularly the… … Wikipedia
List of finite simple groups — In mathematics, the classification of finite simple groups states thatevery finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type (including the Tits group, which strictly speaking is not of Lie type),or… … Wikipedia
Examples of groups — Some elementary examples of groups in mathematics are given on Group (mathematics). Further examples are listed here. Contents 1 Permutations of a set of three elements 2 The group of translations of the plane 3 The symme … Wikipedia
Classification of finite simple groups — Group theory Group theory … Wikipedia
Covering groups of the alternating and symmetric groups — In the mathematical area of group theory, the covering groups of the alternating and symmetric groups are groups that are used to understand the projective representations of the alternating and symmetric groups. The covering groups were… … 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
List of Lie groups topics — This is a list of Lie group topics, by Wikipedia page. Contents 1 Examples 2 Lie algebras 3 Foundational results 4 Semisimple theory … Wikipedia
