Regular Kac-Moody superalgebras and integrable highest weight modules

Crystal Hoyt

doi:10.1016/j.jalgebra.2010.09.007

Regular Kac-Moody superalgebras and integrable highest weight modules

Crystal Hoyt

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Pages (from-to)	3308-3354
Number of pages	47
Journal	Journal of Algebra
Volume	324
Issue number	12
DOIs	https://doi.org/10.1016/j.jalgebra.2010.09.007
State	Published - 15 Dec 2010
Externally published	Yes

Bibliographical note

Funding Information:
E-mail address: crystal.hoyt@weizmann.ac.il. 1 Supported in part by NSF grant DMS-0354321 at the University of California, Berkeley. Supported in part by ISF grant, no.

Keywords

Integrable modules
Lie superalgebra
Odd reflections

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10.1016/j.jalgebra.2010.09.007

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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.",

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N2 - 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.

AB - 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.

KW - Integrable modules

KW - Lie superalgebra

KW - Odd reflections

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Regular Kac-Moody superalgebras and integrable highest weight modules

Abstract

Bibliographical note

Keywords

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