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Lie superalgebra
Lie superalgebra In mathematics, a Lie superalgebra is generalisation of a Lie algebra to include a Z 2 - ...
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Representation of a Lie superalgebra
Representation of a Lie superalgebra In mathematics, particularly in the theory of Lie superalgebras, a representation of a Lie superalgebra L is the action of L ...
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Algebra representation of a Lie superalgebra
Algebra representation of a Lie superalgebra If we have a Lie superalgebra L, then, a (not necessarily associative) Z ... the case of a representation of a Lie algebra, we simply drop all the ...
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Unitary representations of a star Lie superalgebra
Unitary representations of a star Lie superalgebra To meet Wikipedia's quality standards, this ... section may require cleanup. In mathematics, a * Lie superalgebra is a complex Lie superalgebra equipped with an involutive antilinear ...
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Superalgebra
Superalgebra In mathematics and theoretical physics, a superalgebra over a field K is another name ... 2 -graded algebra over K. Specifically, a superalgebra is a super vector space A = A ... are important classes of algebras such as Lie superalgebras which are neither). The identity element ... Further definitions The even subalgeba of a superalgebra A is the homogeneous subalgebra A ...
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Lie algebra
Lie algebra In mathematics, a Lie algebra is an algebraic structure whose main ... lies in studying geometric objects such as Lie groups and differentiable manifolds. Lie algebras were introduced to study the concept of infinitesimal transformations. The term "Lie algebra" (after Sophus Lie, pronounced "lee") ...
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Talk:Superalgebra
Talk:Superalgebra Removed diagrams I've removed the following ... find these diagrams very illuminating. An associative superalgebra (or Z 2 -graded associative algebra) is ... Clifford algebras. A supercommutative algebra is a superalgebra satisfying a graded version of commutivity. Category ... exterior algebra on a vector space. A Lie superalgebra is nonassociative superalgebra which is the ...
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Poisson superalgebra
Poisson superalgebra In mathematics, a Poisson superalgebra is a Z 2 -graded generalization of a Poisson algebra. Specifically, a Poisson superalgebra is an (associative) superalgebra A with a Lie superbracket |
Category:Lie algebras
Category:Lie algebras Pages in category "Lie algebras" There are 41 pages in this ... A Adjoint endomorphism Ado's theorem Affine Lie algebra B (B,N) pair C Cartan ... Current algebra E Engel theorem F Free Lie algebra G Generalized Kac-Moody algebra Group of Lie type H Hyperbolic algebra J Jacobi ...
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Representation of a Lie algebra
Representation of a Lie algebra In mathematics, a representation of a Lie algebra is a way of writing a Lie algebra as a set of matrices (or ... space) in such a way that the Lie bracket is given by the commutator. The ... closely related to a representation of a Lie group. Formal definition A representation of ...
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