Classification of finite-growth general Kac-Moody superalgebras

Details Classification of finite-growth general Kac-Moody superalgebras Classification of finite-growth general Kac-Moody superalgebras

2008-10-15

arxiv.org/abs/0810.2637v1

Mathematics

Representation Theory

Scientific paper

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.

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