Can I read Harish-Chandra isomorphism for cyclotomic double affine Hecke algebras on EtoBox?

Harish-Chandra isomorphism for cyclotomic double affine Hecke algebras by Wen, Joshua Jeishing is a scholarly article available to read on EtoBox.

What is Harish-Chandra isomorphism for cyclotomic double affine Hecke algebras about?

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.

Author

Wen, Joshua Jeishing

Published

2024

Language

EN