Iwahori-Hecke algebra and unramified local L-functions
Number Theory
2022-02-09 v4 Representation Theory
Abstract
In this paper, we compute the Hecke action of a certain test function on the space of an unramified principal series of a connected reductive group over a non-archimedean local field by using the theory of Iwahori--Hecke algebra. As an application, we obtain a new expression of the local L-functions of unramified representations.
Keywords
Cite
@article{arxiv.1903.07613,
title = {Iwahori-Hecke algebra and unramified local L-functions},
author = {Masao Oi and Ryotaro Sakamoto and Hiroyoshi Tamori},
journal= {arXiv preprint arXiv:1903.07613},
year = {2022}
}
Comments
41 pages, 1 table, proofs were simplified according to the suggestion of Thomas Haines