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math.NT2025
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…
math.NT2025
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…