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Iwahori-Hecke Algebras

表示论 2010-08-27 v3

摘要

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.

关键词

引用

@article{arxiv.math/0309168,
  title  = {Iwahori-Hecke Algebras},
  author = {Thomas J. Haines and Robert E. Kottwitz and Amritanshu Prasad},
  journal= {arXiv preprint arXiv:math/0309168},
  year   = {2010}
}

备注

25 pp. A fairly self-contained exposition of basic facts about Iwahori-Hecke algebras. Please send comments and corrections to [email protected]; reference added; slightly expanded introduction and other minor changes; submitted version