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Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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| dc.contributor.author | Khongsap, T. | |
| dc.contributor.author | Wang, W. | |
| dc.date.accessioned | 2019-02-19T19:21:36Z | |
| dc.date.available | 2019-02-19T19:21:36Z | |
| dc.date.issued | 2009 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 20C08 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149249 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue on Dunkl Operators and Related Topics. This research is partially supported by NSF grant DMS-0800280. The main results of this paper for type A were obtained at MSRI in 2006. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
