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arXiv · 1510.02553

Local Langlands Conjecture for $p$-adic $GSpin_4,$ $GSpin_6,$ and their inner forms

Mahdi Asgari·Kwangho Choiy
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Abstract

We establish the local Langlands conjecture for small rank general spin groups $GSpin_4$ and $GSpin_6$ as well as their inner forms. We construct appropriate $L$-packets and prove that these $L$-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 $L$-packets in many cases.

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Mahdi Asgari, Kwangho Choiy. 2015-10-09. Local Langlands Conjecture for $p$-adic $GSpin_4,$ $GSpin_6,$ and their inner forms. https://doi.org/10.1515/forum-2016-0213

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