3 papers
math.RT2026
Unipotent Ideals and Harish-Chandra Bimodules
Ivan Losev, Lucas Mason-Brown, Dmytro Matvieievskyi
Let be a complex reductive algebraic group. In this paper, we give a geometric definition of a unipotent representation of . Our definition generalizes the notion of a speci…
math.RT2025
On uniqueness of tensor products of irreducible categorifications
Ivan Losev, Ben Webster
In this paper, we propose an axiomatic definition for a tensor product categorification. A tensor product categorification is an abelian category with a categorical action of a Kac…
math.RT2025
Bernstein inequality and holonomic modules
Ivan Losev, Pavel Etingof
In this paper we study the representation theory of filtered algebras with commutative associated graded whose spectrum has finitely many symplectic leaves. Examples are provided b…