On extensions of characters of affine pro-p Iwahori--Hecke algebra

2017/03/09 by Santosh Nadimpalli, Nadimpalli, Santosh
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1703.03110

openalex publication_date 2017/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let K be a non-discrete non-Archimedean local field with residue characteristic p. Let G be the group of K rational points of a algebraic connected reductive group defined over K. In this article we compute the extensions between characters of affine pro-p Iwahori--Hecke algebra H^aff over an algebraically closed field R of characteristic p. In rank one case we deduce the relation between the blocks and L-packets.

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