Double affine Hecke algebras and 2-dimensional local fields
Algebraic Geometry
2007-05-23 v1 Quantum Algebra
Abstract
We give an interpretation of the double affine Hecke algebra of Cherednik as the (suitably regularized) algebra of double cosets of a group G by a subgroup J, extending the well known interpretations of finite and affine Hecke algebras. In this interpretation, G consists of K-points of a split reductive group where K is a 2-dimensional local field such as Q_p((t)) or F_q((t_1))((t_2)), and J is a certain analog of the Iwahori subgroup.
Cite
@article{arxiv.math/9812021,
title = {Double affine Hecke algebras and 2-dimensional local fields},
author = {M. Kapranov},
journal= {arXiv preprint arXiv:math/9812021},
year = {2007}
}
Comments
28p. plain TEX