Regular irreducible characters of a hyperspecial compact group and Weil representations over finite fields

Autor:	Takase, Koichi
Rok vydání:	2015
Předmět:	Mathematics - Group Theory 20C33 20C25
Druh dokumentu:	Working Paper
Popis:	A method to construct irreducible unitary representations of a hyperspecial compact subgroup of a reductive group over p-adic field with odd p is presented. Our method is based upon Cliffods theory and Weil representations over finite fields. It works under an assumption of the triviality of certain Schur multipliers defined for an algebraic group over a finite field. The assumption of the triviality has good evidences in the case of general linear groups and highly probable in regular cases in general. We will give several examples of classical groups where the Schur multipliers are actually trivial. Comment: This paper is totally revised to be arXiv:1701.06127v2
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1509.07573 Zobrazit plný text záznamu View this record from Arxiv