2 citations · 3 across the 4 of their papers we have counts for
5 papers · 1 filter
Around Hikita-Nakajima conjecture for nilpotent orbits and parabolic Slodowy varieties
Do Kien Hoang, Vasily Krylov, Dmytro Matvieievskyi
Let be a complex reductive algebraic group. In arxiv:2108.03453 Ivan Losev, Lucas mason-Brown and the third-named author suggested a symplectic duality between nilpotent Slodow…
Unipotent Representations of Complex Groups and Extended Sommers Duality
Lucas Mason-Brown, Dmytro Matvieievskyi, Shilin Yu
Let be a complex reductive algebraic group. In arXiv:2108.03453, we have defined a finite set of irreducible admissible representations of called `unipotent representations…
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…
On the affinization of a nilpotent orbit cover
Dmytro Matvieievskyi
Let be a simple classical Lie algebra over and be the adjoint group. Consider a nilpotent element , and the adjoint orbit $\mathb…
On invariant -dimensional representations of a finite -algebra
Dmytro Matvieievskyi
Let be a simple Lie algebra over and be the corresponding simply connected algebraic group. Consider a nilpotent element , the co…