科研之友
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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
