On a Theorem of N. Katz and Bases in Irreducible Representations

David Kazhdan

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arXiv · 1504.01513

On a Theorem of N. Katz and Bases in Irreducible Representations

David Kazhdan

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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.

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BibTeX RIS

David Kazhdan. 2015-04-07. On a Theorem of N. Katz and Bases in Irreducible Representations. https://arxiv.org/abs/1504.01513

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