Work

Regular Kac-Moody superalgebras and integrable highest weight modules

Year: 2008

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0810.2650

Author: Hoyt, Crystal

Institution: Weizmann Institute of Science

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Weizmann Institute of Science, Israel Science Foundation

Award: EMSW21-RTG: Research Training Group in Interactions of Representation Theory, Geometry and Combinatorics

OpenAlex ID: W2952995313

Cites: 1

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Related to: 20