Harish-Chandra isomorphism for cyclotomic double affine Hecke algebras

Autor:	Wen, Joshua Jeishing
Rok vydání:	2024
Předmět:	Mathematics - Quantum Algebra Mathematics - Representation Theory Primary: 20C08 33D52 53D55 Secondary: 16G20
Druh dokumentu:	Working Paper
Popis:	We confirm a conjecture of Braverman--Etingof--Finkelberg that the spherical subalgebra of their cyclotomic double affine Hecke algebra (DAHA) is isomorphic to a quantized multiplicative quiver variety for the cyclic quiver, as defined by Jordan. The isomorphism is constructed as a q-analogue of Oblomkov's cyclotomic radial parts map for the rational case. In the appendix, we also prove that the spherical cyclotomic DAHA is isomorphic to the image of a shifted quantum toroidal algebra under Tsymbaliuk's GKLO homomorphism. Comment: 48pp, v2. Fixed some typos and removed some unnecessary material. Submitted
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.07679 Zobrazit plný text záznamu View this record from Arxiv