130 citations · 192 across the 21 of their papers we have counts for
27 papers
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 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…
Local Intertwining Relations and Co-tempered -packets of Classical Groups
Hiraku Atobe, Wee Teck Gan, Atsushi Ichino +3
The local intertwining relation is an identity that gives precise information about the action of normalized intertwining operators on parabolically induced representations. We pro…
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…
Galois cohomology of reductive groups over global fields
Mikhail Borovoi, Tasho Kaletha, Vladimir Hinich
We give closed formulas for the abelian Galois cohomology groups H^1_{ab}(F,G) and H^2_{ab}(F,G) of a connected reductive group G over a global field F in terms of the algebraic fu…
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…