Regular irreducible represntations of classical groups over finite quotient rings

Autor:	Takase, Koichi
Rok vydání:	2019
Předmět:	Mathematics - Number Theory Mathematics - Representation Theory 2010: primary 20C15 secondary 20C33
Druh dokumentu:	Working Paper
Popis:	A parametrization of irreducible representations associated with a regular adjoint orbit of a classical group over finite quotient rings of the ring of integer of a non-dyadic non-archimedean local field is presented. The parametrization is given by means of (a subset of) the character group of the centralizer of a representative of the regular adjoint orbit. Our method is based upon Weil representations over finite fields. More explicit parametrization in terms of tamely ramified extensions of the base field is given for the general linear group, the special linear group, the symplectic group and the orthogonal group. Comment: submitted to Pacific Journal of Mathematics. arXiv admin note: substantial text overlap with arXiv:1701.06127, arXiv:1509.07573
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1905.02542 Zobrazit plný text záznamu View this record from Arxiv