On a Theorem of N. Katz and Bases in Irreducible Representations
Number Theory
2015-04-08 v1
Abstract
N. Katz has shown that any irreducible representation of the Galois group of F_q((t)) has unique extension to a special representation of the Galois group of k(t) unramified outside 0 and infinity and tamely ramified at infinity. In this paper we analyze the number of not necessarily special such extensions and relate this question to a description of bases in irreducible representations of multiplicative groups of division algebras.
Keywords
Cite
@article{arxiv.1504.01513,
title = {On a Theorem of N. Katz and Bases in Irreducible Representations},
author = {David Kazhdan},
journal= {arXiv preprint arXiv:1504.01513},
year = {2015}
}
Comments
7 pages