Local Langlands Conjecture for $p$-adic $GSpin_4,$ $GSpin_6,$ and their inner forms
Number Theory
2024-10-07 v4 Representation Theory
Abstract
We establish the local Langlands conjecture for small rank general spin groups and as well as their inner forms. We construct appropriate -packets and prove that these -packets satisfy the properties expected of them to the extent that the corresponding local factors are available. We are also able to determine the exact sizes of the -packets in many cases.
Cite
@article{arxiv.1510.02553,
title = {Local Langlands Conjecture for $p$-adic $GSpin_4,$ $GSpin_6,$ and their inner forms},
author = {Mahdi Asgari and Kwangho Choiy},
journal= {arXiv preprint arXiv:1510.02553},
year = {2024}
}
Comments
the description of the group structure of the central extension, all the sizes of L-packets for GSpin(4) and its non quasi-split F-inner forms, and their multiplicity in restriction added; exposition improved