Abstract
We describe explicitly the Grothendieck rings of finite-dimensional representations of the periplectic Lie superalgebras. In particular, the Grothendieck ring of the Lie supergroup P (n) is isomorphic to the ring of symmetric polynomials in x1±1, . . ., xn±1 whose evaluation x1 = x2-1 = t is independent of t.
| Original language | English |
|---|---|
| Pages (from-to) | 1175-1195 |
| Number of pages | 21 |
| Journal | Mathematical Research Letters |
| Volume | 28 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2021 International Press of Boston, Inc.. All rights reserved.
Funding
We thank Bar-Ilan university at Ramat Gan, Israel for hosting M.S.I. and providing excellent collaboration conditions. We are also grateful to Vladimir Hinich and Malka Schaps for interesting discussions. This project is partially supported by ISF Grant No. 1221/17, NSF grant 1701532, and United States Military Academy’s Faculty Research Fund.
| Funders | Funder number |
|---|---|
| National Science Foundation | |
| Directorate for Mathematical and Physical Sciences | 1701532 |
| U.S. Military Academy | |
| Israel Science Foundation | 1221/17 |