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A HECKE ALGEBRA ISOMORPHISM OVER CLOSE LOCAL FIELDS

Ganapathy, R (2022) A HECKE ALGEBRA ISOMORPHISM OVER CLOSE LOCAL FIELDS. In: Pacific Journal of Mathematics, 319 (2). pp. 307-332.

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Official URL: https://doi.org/10.2140/pjm.2022.319.307

Abstract

Let G be a split connected reductive group over Z. Let F be a nonarchimedean local field. With (Formula Presented) Kazhdan proved that for a field F' sufficiently close local field to F, the Hecke algebras ℋ(G(F),Km) and ℋ(G(F'),K'm) are isomorphic, where K'm denotes the corresponding object over F'. We generalize this result to general connected reductive groups

Item Type: Journal Article
Publication: Pacific Journal of Mathematics
Publisher: Mathematical Sciences Publishers
Additional Information: The copyright for this article belongs to Mathematical Sciences Publishers .
Keywords: Close local fields; Hecke algebra
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 12 Oct 2022 09:05
Last Modified: 12 Oct 2022 09:05
URI: https://eprints.iisc.ac.in/id/eprint/77326

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