Iwahori-Hecke Algebras of SL_2 over 2-dimensional Local Fields

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dc.creatorLee, Kyu-Hwan
dc.date2005-06-07
dc.date2008-05-25
dc.date.accessioned2026-07-07T09:40:32Z
dc.date.available2026-07-07T09:40:32Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/math/0506115
dc.identifierhttp://arxiv.org/abs/math/0506115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161515
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.titleIwahori-Hecke Algebras of SL_2 over 2-dimensional Local Fields
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