An analog of the classical invariant theory for Lie superlagebras
Representation Theory
2007-05-23 v1 Commutative Algebra
Abstract
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).
Keywords
Cite
@article{arxiv.math/9810113,
title = {An analog of the classical invariant theory for Lie superlagebras},
author = {Alexander Sergeev},
journal= {arXiv preprint arXiv:math/9810113},
year = {2007}
}
Comments
25 p., Latex; 5 PostScript figures