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Iwahori-Hecke Algebras

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arxiv math/0309168 v3 pith:KHIMVWL5 submitted 2003-09-09 math.RT

Thomas J. Haines , Robert E. Kottwitz , Amritanshu Prasad This is my paper · ORCID
classification math.RT
keywords formulaiwahori-heckealgebraalgebrasarticlebasicbernsteincasselman-shalika
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This article gives a fairly self-contained treatment of the basic facts about the Iwahori-Hecke algebra of a split p-adic group, including Bernstein's presentation, Macdonald's formula, the Casselman-Shalika formula, and the Lusztig-Kato formula.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Weights and characters for affine Hecke algebras

    math.RT 2026-07 accept novelty 6.5 of 10

    Weights uniquely determine simple modules for quasi-simply-connected affine Hecke algebras, and induction/restriction along isogenies preserve semisimplicity, Hermitian duals and unitarity.

  2. Squarefree numbers in short intervals: explicit and formalized

    math.NT 2026-08 conditional novelty 6.0 of 10

    For intervals of length H = X^{1/5 - 2/90935 + ε}, the number of squarefree integers differs from (6/π²)H by at most an explicit constant times H X^{-ε/10^{25}}.

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