Regular Kac-Moody superalgebras and integrable highest weight modules

Details Regular Kac-Moody superalgebras and integrable highest weight modules Regular Kac-Moody superalgebras and integrable highest weight modules

2008-10-15

arxiv.org/abs/0810.2650v4

Journal of Algebra, 324 no. 12 (2010), 3308-3354

Mathematics

Representation Theory

added reference; corrected typos

Scientific paper

We define regular Kac-Moody superalgebras and classify them using integrable
modules. We give conditions for irreducible highest weight modules of regular
Kac-Moody superalgebras to be integrable. This paper is a major part of the
proof for the classification of finite-growth contragredient Lie superalgebras.

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