Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type
| dc.creator | Khongsap, Ta | |
| dc.creator | Wang, Weiqiang | |
| dc.date | 2008-10-12 | |
| dc.date | 2009-01-28 | |
| dc.date.accessioned | 2026-07-07T12:34:44Z | |
| dc.date.available | 2026-07-07T12:34:44Z | |
| dc.description | We introduce an odd double affine Hecke algebra (DaHa) generated by a classical Weyl group W and two skew-polynomial subalgebras of anticommuting generators. This algebra is shown to be Morita equivalent to another new DaHa which are generated by W and two polynomial-Clifford subalgebras. There is yet a third algebra containing a spin Weyl group algebra which is Morita (super)equivalent to the above two algebras. We establish the PBW properties and construct Verma-type representations via Dunkl operators for these algebras. | |
| dc.identifier | https://arxiv.org/abs/0810.2068 | |
| dc.identifier | http://arxiv.org/abs/0810.2068 | |
| dc.identifier | SIGMA 5 (2009), 012, 27 pages | |
| dc.identifier | doi:10.3842/SIGMA.2009.012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217539 | |
| dc.subject | Representation Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type | |
| dc.type | text |