An analog of the classical invariant theory for Lie superlagebras

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

1998-10-17

arxiv.org/abs/math/9810113v1

Mathematics

Representation Theory

25 p., Latex; 5 PostScript figures

Scientific paper

Let V be a finite-dimensional superspace 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 tensor algebra of V. We give such description for GL(V), SL(V) and OSP(V) and their ``odd'' analogs: Q(V), SQ(V); Pe(V) and SPe(V).

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