Grothendieck rings of basic classical Lie superalgebras
Representation Theory
2009-12-23 v2 Rings and Algebras
Abstract
The Grothendieck rings of finite dimensional representations of the basic classical Lie superalgebras are explicitly described in terms of the corresponding generalised root systems. We show that they can be interpreted as the subrings in the weight group rings invariant under the action of certain groupoids called Weyl groupoids.
Keywords
Cite
@article{arxiv.0704.2250,
title = {Grothendieck rings of basic classical Lie superalgebras},
author = {A. N. Sergeev and A. P. Veselov},
journal= {arXiv preprint arXiv:0704.2250},
year = {2009}
}
Comments
34 pages, revised version, to appear in Annals of Math