On Bernstein’s Presentation of Iwahori-hecke Algebras and Representations of Split Reductive Groups over Non-archimedean Local Fields
نویسندگان
چکیده
This article gives conceptual statements and proofs relating parabolic induction and Jacquet functors on split reductive groups over a nonArchimedean local field to the associated Iwahori-Hecke algebra as tensoring from and restricting to parabolic subalgebras. The main tool is Bernstein’s presentation of the Iwahori-Hecke algebra.
منابع مشابه
Iwahori-hecke Algebras of Sl2 over 2-dimensional Local Fields
Hecke algebras were first studied because of their role in the representation theory of p-adic groups, or algebraic groups over 1-dimensional local fields. There are two important classes of Hecke algebras. One is spherical Hecke algebras attached to maximal compact open subgroups, and the other is Iwahori-Hecke algebras attached to Iwahori subgroups. A spherical Hecke algebra is isomorphic to ...
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