Abstract

Abstract We establish the local Langlands conjecture for small rank general spin groups GSpin 4 {\mathrm{GSpin}_{4}} and GSpin 6 {\mathrm{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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