Iwahori-Hecke Algebras of SL_2 over 2-dimensional Local Fields
Representation Theory
2008-05-25 v3 Rings and Algebras
Abstract
In this paper we construct an analogue of Iwahori-Hecke algebras of SL_2 over 2-dimensional local fields. After considering coset decompositions of double cosets of a Iwahori subgroup, we define a convolution product on the space of certain functions on SL_2, and prove that the product is well-defined. Then we investigate the structure of the Hecke algebra. We determine the center of the Hecke algebra and consider Iwahori-Matsumoto type relations.
Keywords
Cite
@article{arxiv.math/0506115,
title = {Iwahori-Hecke Algebras of SL_2 over 2-dimensional Local Fields},
author = {Kyu-Hwan Lee},
journal= {arXiv preprint arXiv:math/0506115},
year = {2008}
}