Affine Sergeev Algebra and $q$-Analogues of the Young Symmetrizers for Projective Representations of the Symmetric Group
| dc.creator | Jones, Andrew | |
| dc.creator | Nazarov, Maxim | |
| dc.date | 1997-12-16 | |
| dc.date | 2000-03-20 | |
| dc.date.accessioned | 2026-07-07T05:57:47Z | |
| dc.date.available | 2026-07-07T05:57:47Z | |
| dc.description | We study a $q$-deformation for the semi-direct product of the symmetric group $S_n$ with the Clifford algebra on $n$ anticommuting generators. We obtain a $q$-version of the projective analogue for the classical Young symmetrizer found by the second author [Adv. Math. 127(1997), 190-257]. Our main tool is an analogue of the Hecke algebra of complex valued functions on the group $GL_{n}$ over a $p$-adic field relative to the Iwahori subgroup. | |
| dc.description | LaTeX, 28 pages | |
| dc.identifier | https://arxiv.org/abs/q-alg/9712041 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9712041 | |
| dc.identifier | Proc. London Math. Soc. 78 (1999), 481-512 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/88115 | |
| dc.subject | Quantum Algebra | |
| dc.title | Affine Sergeev Algebra and $q$-Analogues of the Young Symmetrizers for Projective Representations of the Symmetric Group | |
| dc.type | text |