Pro-p-Iwahori Hecke algebra and supersingular -representations
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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We establish branching rules between some Iwahori-Hecke algebra of type B and their subalgebras which are defined as fixed subalgebras by involutions including Goldman involution. The IwahoriHecke algebra of type D is one of such fixed subalgebras. We also obtain branching rules between those fixed subalgebras and their intersection subalgebra. We determine basic sets of irreducible representat...
متن کاملSeminormal Representations of Weyl Groups and Iwahori – Hecke Algebras
The purpose of this paper is to describe a general procedure for computing analogues of Young’s seminormal representations of the symmetric groups . The method is to generalize the Jucys – Murphy elements in the group algebras of the symmetric groups to arbitrary Weyl groups and Iwahori – Hecke algebras . The combinatorics of these elements allow one to compute irreducible representations expli...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2005
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-005-0679-6