Classification of finite-growth general Kac-Moody superalgebras
Representation Theory
2008-10-16 v1
Abstract
A contragredient Lie superalgebra is a superalgebra defined by a Cartan matrix. A contragredient Lie superalgebra has finite-growth if the dimensions of the graded components (in the natural grading) depend polynomially on the degree. In this paper we classify finite-growth contragredient Lie superalgebras. Previously, such a classification was known only for the symmetrizable case.
Cite
@article{arxiv.0810.2637,
title = {Classification of finite-growth general Kac-Moody superalgebras},
author = {Crystal Hoyt and Vera Serganova},
journal= {arXiv preprint arXiv:0810.2637},
year = {2008}
}