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.
Kaletha, On the local langlands conjectures for disconnected groups, 2022, Preprint: http://arxiv.org/abs/2210.02519 arXiv:2210.02519 [math.RT]
2 Pith papers cite this work. Polarity classification is still indexing.
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Constructs local Langlands correspondence for essentially unipotent supercuspidal representations with functoriality and automorphism equivariance, generalizing to disconnected reductive groups under a mild structural condition.
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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.
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The local Langlands correspondence of essentially unipotent supercuspidal representations for disconnected reductive groups
Constructs local Langlands correspondence for essentially unipotent supercuspidal representations with functoriality and automorphism equivariance, generalizing to disconnected reductive groups under a mild structural condition.