Abstract
We prove denominator identities for the periplectic Lie superalgebra p(n), thereby completing the problem of finding denominator identities for all simple classical finite-dimensional Lie superalgebras.
| Original language | English |
|---|---|
| Pages (from-to) | 459-474 |
| Number of pages | 16 |
| Journal | Journal of Algebra |
| Volume | 567 |
| DOIs | |
| State | Published - 1 Feb 2021 |
Bibliographical note
Publisher Copyright:© 2020 Elsevier Inc.
Funding
The first author has been partially funded by ORT Braude College's Research Authority . The second author acknowledges Department of Mathematics at Bar-Ilan University at Ramat Gan, Israel for excellent working conditions. The second and third authors are partially funded by ISF Grant No. 1221/17 . The first author has been partially funded by ORT Braude College's Research Authority. The second author acknowledges Department of Mathematics at Bar-Ilan University at Ramat Gan, Israel for excellent working conditions. The second and third authors are partially funded by ISF Grant No. 1221/17.
| Funders | Funder number |
|---|---|
| Department of Mathematics | |
| ORT Braude College's Research Authority | |
| Israel Science Foundation | 1221/17 |
Keywords
- Denominator identity
- Kac modules
- Kac–Wakimoto character formula
- Periplectic Lie superalgebra
- Supercharacters
- Weyl character formula