An analog of the classical invariant theory for Lie superlagebras. II

Details An analog of the classical invariant theory for Lie superlagebras. II An analog of the classical invariant theory for Lie superlagebras. II

1999-04-16

arxiv.org/abs/math/9904079v1

Mathematics

Representation Theory

18 p., Latex

Scientific paper

Let V be a finite dimensional complex superspace and G a simple (or a ``close'' to simple) Lie superalgebra of matrix type, 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 tensor algebra of V. In math.RT/9810113 the invariants are described up to polarization operators. Here we give a complete description of the generators in the algebra of invariants and describe the relations between the invariants of the scalar product type.

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