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.
|Number of pages||47|
|Journal||Journal of Algebra|
|State||Published - 15 Dec 2010|
Bibliographical noteFunding Information:
E-mail address: email@example.com. 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