On certain supercuspidal representations of $SL_n(F)$ associated with tamely ramified extensions: the formal degree conjecture and the root number conjecture

Autor:	Takase, Koichi
Rok vydání:	2021
Předmět:	Mathematics - Representation Theory Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	Based upon the general theory, developed by the author, on the parametrization of the irreducible representations of the hyper special compact groups corresponding to the regular adjoint orbit, supercuspidal representations of $SL_n(F)$ are explicitly constructed for which the formal degree conjecture and the root number conjecture are verified with respect to certain $L$-parameter defined, by means of Kaletha, that is, the local Langlands correspondence of tori and the Langlands-Schelstad procedure, by the data parametrizing the irreducible representations of the hyper special compact subgroup $SL_n(O_F)$. Comment: This article is a vast revision of the preceding paper arXiv:1805.06186v2
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.04642 Zobrazit plný text záznamu View this record from Arxiv