An Analog of the Classical Invariant Theory for Lie Superlagebras

Abstract

Let V be a finite-dimensional superspace over C and g a simple (or a “close” to simple) matrix Lie superalgebra, i.e., a Lie subsuperalgebra in gl(V ). Under the classical invariant theory for g we mean the description of g-invariant elements of the algebra A p,q k,l = S . (V k ⊕Π(V ) ⊕ V ∗p ⊕Π(V )). We give such description for gl(V ), sl(V ) and osp(V… (More)

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