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The Aubert and Bernstein involutions for disconnected groups
Yongshen Cheng, Tasho Kaletha
We extend to arbitrary disconnected reductive -adic groups the duality on the category of smooth finite-length complex representations defined by Aubert, as well as its cohomolo…
On the local Langlands conjectures for disconnected groups
Tasho Kaletha
We extend the local Langlands conjectures to a certain class of disconnected groups, allowing non-abelian component groups, and recast in this language some aspects of twisted endo…
On the refined local Langlands conjecture for discrete -parameters of inner forms of quasi-split disconnected real reductive groups
Tasho Kaletha, Paul Mezo
Given a quasi-split connected reductive -group and a finite group acting on by -automorphisms that preserve an -pinning, we construc…
Discrete series L-packets for real reductive groups
Jeffrey Adams, Tasho Kaletha
We give a modern exposition of the construction, parameterization, and character relations for discrete series L-packets of real reductive groups, which are fundamental results due…