Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type
|
|
| Creator |
Khongsap, T.
Wang, W. |
|
| 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.
|
|
| Date |
2019-02-19T19:21:36Z
2019-02-19T19:21:36Z 2009 |
|
| Type |
Article
|
|
| Identifier |
Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type / T. Khongsap, W. Wang // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 17 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 20C08 http://dspace.nbuv.gov.ua/handle/123456789/149249 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|