2024/08/25 by Peter Dillery, David Schwein, Dillery, Peter +1
#math.NT #math.RT
paper · pdf · doi:10.48550/arxiv.2408.13908
This article initiates the study of non-basic rigid inner forms over p-adic local fields, extending the basic theory developed by Kaletha. Motivated by the recent work of Bertoloni Meli--Oi on the B(G)-parametrization of the local Langlands conjectures, our main application is to extend the basic rigid refined local Langlands conjectures for a discrete L-parameter ϕ of a quasi-split connected reductive group G. The packets of our extended construction are Weyl orbits of representations of inner forms of twisted Levi subgroups N of G for which ϕ factors through a member of the canonical L-embeddings LN± → LG constructed by Kaletha.