Modulo p parabolic induction of pro-p-Iwahori Hecke algebra
نویسندگان
چکیده
منابع مشابه
Homological representations of the Iwahori–Hecke algebra
Representations of the Iwahori–Hecke algebra of type An−1 are equivalent to representations of the braid group Bn for which the generators satisfy a certain quadratic relation. We show how to construct such representations from the natural action of Bn on the homology of configuration spaces of the punctured disk. We conjecture that all irreducible representations of Hn can be obtained in this ...
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This paper is a continuation of [3] in which the first two authors have introduced the spherical Hecke algebra and the Satake isomorphism for an untwisted affine Kac-Moody group over a non-archimedian local field. In this paper we develop the theory of the Iwahori-Hecke algebra associated to these same groups. The resulting algebra is shown to be closely related to Cherednik’s double affine Hec...
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متن کاملIwahori-hecke Algebras
Our aim here is to give a fairly self-contained exposition of some basic facts about the Iwahori-Hecke algebra H of a split p-adic group, including Bernstein’s presentation and description of the center, Macdonald’s formula, the CasselmanShalika formula, and the Kato-Lusztig formula. There are no new results here, and the same is essentially true of the proofs. We have been strongly influenced ...
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G. E. Murphy showed in 1983 that the centre of every symmetric group algebra has an integral basis consisting of a specific set of monomial symmetric polynomials in the Jucys–Murphy elements. While we have shown in earlier work that the centre of the group algebra of S3 has exactly three additional such bases, we show in this paper that the centre of the group algebra of S4 has infinitely many ...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2019
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle-2016-0043