Representation Of A Lie Superalgebra

(Representation Theory Of Lie Algebra)


Representation Theory Of Lie Algebra
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What is Representation of a Lie superalgebra?

In the mathematical field of representation theory, a representation of a Lie superalgebra is an action of Lie superalgebra L on a Z2-graded vector space V, such that if A and B are any two pure elements of L and X and Y are any two pure elements of V, then Equivalently, a representation of L is a Z2-graded representation of the universal enveloping algebra of L which respects the third equation above.

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representation theory of lie algebra


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