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math.RT2026
The Unitarity of Arthur Packets for Real Reductive Groups
Jeffrey Adams, Andrei Ionov, Lucas Mason-Brown +1
Let be a connected reductive algebraic group defined over . In the 1980s, Arthur conjectured the existence of certain packets of irreducible admissible representati…
math.RT2023
Equivariant derived category of a reductive group as a categorical center
Roman Bezrukavnikov, Andrei Ionov, Kostiantyn Tolmachov +1
We prove that the adjoint equivariant derived category of a reductive group is equivalent to the appropriately defined monoidal center of the torus-equivariant version of the H…
math.RT2020
Filtrations on block subalgebras of reduced universal enveloping algebras
Andrei Ionov, Dylan Pentland
We study the interaction between the block decompositions of reduced universal enveloping algebras in positive characteristic, the PBW filtration, and the nilpotent cone. We provid…