Iwahori-Hecke Algebras
Thomas J. Haines, Robert E. Kottwitz, and Amritanshu Prasad
TL;DR
This paper provides a comprehensive overview of the Iwahori-Hecke algebra associated with split p-adic groups, covering key formulas and presentations essential for understanding its structure and applications.
Contribution
It offers a self-contained treatment of fundamental results like Bernstein's presentation, Macdonald's formula, and the Casselman-Shalika and Lusztig-Kato formulas.
Findings
Detailed exposition of Iwahori-Hecke algebra structure
Derivation of key formulas for split p-adic groups
Clarification of the algebra's role in representation theory
Abstract
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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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Advanced Combinatorial Mathematics