A Langlands duality of elliptic Hecke algebras
Representation Theory
2023-10-23 v1 Algebraic Geometry
Quantum Algebra
Abstract
Associated to any root datum, there is an elliptic affine Hecke algebra defined by Ginzburg, Kapranov, and Vasserot. In this study, we establish a Fourier-Mukai functor from the representation category of the elliptic affine Hecke algebra to the corresponding category associated with the Langlands dual root datum. To achieve this connection, we employ the elliptic Hecke algebra with dynamical parameters as an intermediary.
Keywords
Cite
@article{arxiv.2310.13460,
title = {A Langlands duality of elliptic Hecke algebras},
author = {Gufang Zhao and Changlong Zhong},
journal= {arXiv preprint arXiv:2310.13460},
year = {2023}
}
Comments
19 pages. Comments are welcome!