- adjoint group
- мат.присоединённая группа
English-Russian scientific dictionary. 2008.
adjoint group
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Adjoint functors — Adjunction redirects here. For the construction in field theory, see Adjunction (field theory). For the construction in topology, see Adjunction space. In mathematics, adjoint functors are pairs of functors which stand in a particular… … Wikipedia
Adjoint representation — In mathematics, the adjoint representation (or adjoint action) of a Lie group G is the natural representation of G on its own Lie algebra. This representation is the linearized version of the action of G on itself by conjugation.Formal… … Wikipedia
Adjoint endomorphism — In mathematics, the adjoint endomorphism or adjoint action is an endomorphism of Lie algebras that plays a fundamental role in the development of the theory of Lie algebras and Lie groups.Given an element x of a Lie algebra mathfrak{g}, one… … 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
Adjoint bundle — In mathematics, an adjoint bundle is a vector bundle naturally associated to any principal bundle. The fibers of the adjoint bundle carry a Lie algebra structure making the adjoint bundle into an algebra bundle. Adjoint bundles has important… … Wikipedia
Adjoint — In mathematics, the term adjoint applies in several situations. Several of these share a similar formalism: if A is adjoint to B , then there is typically some formula of the type:( Ax , y ) = [ x , By ] .Specifically, adjoint may mean: *Adjoint… … Wikipedia
Group Hopf algebra — In mathematics, the group Hopf algebra of a given group is a certain construct related to the symmetries of group actions. Deformations of group Hopf algebras are foundational in the theory of quantum groups. DefinitionLet G be an arbitrary group … Wikipedia
General linear group — Group theory Group theory … Wikipedia
Orthogonal group — Group theory Group theory … Wikipedia
Lorentz group — Group theory Group theory … Wikipedia
Projective unitary group — In mathematics, the projective unitary group PU( n ) is the quotient of the unitary group U( n ) by the right multiplication of its center, U(1), embedded as scalars.Abstractly, it is the isometry group of complex projective space, just as the… … Wikipedia
