A tale of two Hecke algebras

2012/02/07 by Gordan Savin, Savin, Gordan · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT

paper · pdf · doi:10.48550/arxiv.1202.1486

arxiv created 2012/02/07 · openalex publication_date 2012/02/07 · arxiv updated 2012/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use Bernstein's presentation of the Iwahori-Matsumoto Hecke algebra to obtain a simple proof of the Satake isomorphism and, in the same stroke, compute the center of the Iwahori-Matsumoto Hecke algebra.

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