Iwahori-Hecke Algebras of SL2 over 2-Dimensional Local Fields

作者:Lee Kyu Hwan*
来源:Canadian Journal of Mathematics, 2010, 62(6): 1310-1324.
DOI:10.4153/CJM-2010-072-x

摘要

In this paper we construct an analogue of Iwahori-Hecke algebras of SL2 over 2 dimensional local fields After considering coset decompositions of double cosets of a Iwahori subgroup we de fine a convolution product on the space of certain functions on SL2 and prove that the product is well defined obtaining a Hecke algebra Then we investigate the structure of the Hecke algebra We determine the center of the Hecke algebra and consider Iwahori Matsumoto type relations

  • 出版日期2010-12