The paper constructs L-packets for discrete L-parameters on inner forms of quasi-split disconnected real reductive groups and proves they satisfy endoscopic character identities, establishing the refined local Langlands correspondence.
Shelstad, Embeddings of L -groups , Canad
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On the refined local Langlands conjecture for discrete $L$-parameters of inner forms of quasi-split disconnected real reductive groups
The paper constructs L-packets for discrete L-parameters on inner forms of quasi-split disconnected real reductive groups and proves they satisfy endoscopic character identities, establishing the refined local Langlands correspondence.