Hecke–Clifford algebras and spin Hecke algebras, II: The rational double affine type
Hecke–Clifford algebras and spin Hecke algebras, II: The rational double affine type
复制标题
Hecke-Clifford 代数和自旋 Hecke 代数，II：有理双仿射型
DOI：
--
复制
发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Weiqiang Wang
中科院分区：
文献类型：
--
作者：
Ta Khongsap;Weiqiang Wang
引入了与经典Weyl群相关的有理自旋双仿射Hecke代数（sDaHa）和有理双仿射Hecke- clifford代数（DaHCa）的概念。建立了这些代数的基本性质，如PBW基和Dunkl算子表示。得到了有理DaHCa与有理sDaHa之间的代数同构关系。通过引入有理覆盖双仿射Hecke代数的概念，进一步发展了通常的有理Cherednik代数与有理sDaHa之间的联系。
The notion of rational spin double affine Hecke algebras (sDaHa) and rational double affine Hecke-Clifford algebras (DaHCa) associated to classical Weyl groups are introduced. The basic properties of these algebras such as the PBW basis and Dunkl operator representations are established. An algebra isomorphism relating the rational DaHCa to the rational sDaHa is obtained. We further develop a link between the usual rational Cherednik algebra and the rational sDaHa by introducing a notion of rational covering double affine Hecke algebras.