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 | |
| State | Published - 15 Dec 2010 |
| Externally published | Yes |
Bibliographical note
Funding Information:E-mail address: [email protected]. 1 Supported in part by NSF grant DMS-0354321 at the University of California, Berkeley. Supported in part by ISF grant, no.
Funding
E-mail address: [email protected]. 1 Supported in part by NSF grant DMS-0354321 at the University of California, Berkeley. Supported in part by ISF grant, no.
| Funders | Funder number |
|---|---|
| National Science Foundation | DMS-0354321 |
| Directorate for Mathematical and Physical Sciences | 0354321 |
| University of California Berkeley | |
| Israel Science Foundation |
Keywords
- Integrable modules
- Lie superalgebra
- Odd reflections