Regular Kac-Moody superalgebras and integrable highest weight modules

Crystal Hoyt

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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 languageEnglish
Pages (from-to)3308-3354
Number of pages47
JournalJournal of Algebra
Issue number12
StatePublished - 15 Dec 2010
Externally publishedYes

Bibliographical note

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


  • Integrable modules
  • Lie superalgebra
  • Odd reflections


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