Local Langlands Conjecture for p-adic GSpin4, GSpin6, and their inner forms

Abstract

We establish the local Langlands conjecture for small rank general spin groups GSpin4 and GSpin6 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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