Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra q(n)
| dc.creator | Brundan, Jonathan | |
| dc.date | 2002-07-02 | |
| dc.date | 2002-09-10 | |
| dc.date.accessioned | 2026-07-07T04:49:30Z | |
| dc.date.available | 2026-07-07T04:49:30Z | |
| dc.description | The problem of computing the characters of the finite dimensional irreducible representations of the Lie superalgebra $\mathfrak q(n)$ over $\C$ was solved in 1996 by I. Penkov and V. Serganova. In this article, we give a different approach relating the character problem to canonical bases of the quantized enveloping algebra $U_q(\mathfrak b_{\infty})$. We also formulate for the first time a conjecture for the characters of the infinite dimensional irreducible representations in the analogue of category $\mathcal O$ for the Lie superalgebra $\mathfrak{q}(n)$. | |
| dc.description | Version 2: some minor corrections and updated references | |
| dc.identifier | https://arxiv.org/abs/math/0207024 | |
| dc.identifier | http://arxiv.org/abs/math/0207024 | |
| dc.identifier | Advances Math. 182 (2004), 28-77. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64445 | |
| dc.subject | Representation Theory | |
| dc.subject | 17B10 | |
| dc.title | Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra q(n) | |
| dc.type | text |