Representation of a Lie superalgebra Guide, Meaning , Facts, Information and Description
In the theory of Lie superalgebras, a representation of a Lie superalgebra L is the action of L upon a Z2-graded vector space V such that if A and B are any two pure elements of L (remember that L is Z2-graded) 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.
See also representation of a Lie algebra, representation of a Hopf algebra, Lie superalgebra, group representation, graded vector space
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