Abstract
Abstract Suppose F is a p-adic field, and H 1 ${\mathrm{H}_{1}}$ is (a z-extension of) a group that is twisted endoscopic to a connected reductive quasi-split group G over F. Suppose G satisfies the strong form of the generic packet conjecture (also called tempered packet conjecture in literature). Under certain assumptions, we show that the twisted endoscopic character identities associated to this situation imply the strong form of the generic packet conjecture for H 1 ${\mathrm{H}_{1}}$ . This generalizes a result of T. Konno, and lets us deduce, under the assumption that appropriate character identities are satisfied, the generic packet conjecture for general spin (GSpin) groups.
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