18 citations · 42 across the 14 of their papers we have counts for
15 papers
Qudit stabilizers beyond the free case and the twisted Kitaev model
Ruslan Maksimau
We study the stabiliser formalism for qudits of arbitrary dimension . In the free case, we show that the basic theorem of the stabiliser formalism remains valid: if the stabilis…
Singularities in Calogero--Moser Varieties
Gwyn Bellamy, Ruslan Maksimau, Travis Schedler
In this article we describe completely the singularities appearing in Calogero--Moser varieties associated (at any parameter) to the wreath product symplectic reflection groups. We…
Stratifying quiver Schur algebras via ersatz parity sheaves
Ruslan Maksimau, Alexandre Minets
We propose an extension of the theory of parity sheaves, which allows for non-locally constant sheaves along strata. Our definition is tailored for proving the existence of (proper…
Geometric categorifications of Verma modules: Grassmannian Quiver Hecke algebras
Ruslan Maksimau, Catharina Stroppel
Naisse and Vaz defined an extension of KLR algebras to categorify Verma modules. We realise these algebras geometrically as convolution algebras in Borel-Moore homology. For this w…
Symplectic leaves of Calogero-Moser spaces of type
Ruslan Maksimau
We study symplectic leaves of Calogero-Moser spaces of type . We prove that the normalization of the closure of each symplectic leaf is isomorphic to some Calogero-Mos…
KLR and Schur algebras for curves and semi-cuspidal representations
Ruslan Maksimau, Alexandre Minets
Given a smooth curve , we define and study analogues of KLR algebras and quiver Schur algebras, where quiver representations are replaced by torsion sheaves on . In particula…
Affine category O, Koszul duality and Zuckerman functors
Ruslan Maksimau
The parabolic category for affine at level admits a structure of a categorical representation of with respect…
Flag versions of quiver Grassmannians for Dynkin quivers have no odd cohomology
Ruslan Maksimau
We prove the conjecture that flag versions of quiver Grassmannians (also known as Lusztig's fibers) for Dynkin quivers (types , , ) have no odd cohomology groups over an a…
DG-Enhanced Hecke and KLR Algebras
Ruslan Maksimau, Pedro Vaz
We construct DG-enhanced versions of the degenerate affine Hecke algebra and of the affine Hecke algebra. We extend Brundan-Kleshchev and Rouquier's isomorphism and prove that afte…
Categorical representations and KLR algebras
Ruslan Maksimau
We prove that the KLR algebra associated with the cyclic quiver of length is a subquotient of the KLR algebra associated with the cyclic quiver of length . We also give a…
Higher level affine Schur and Hecke algebras
Ruslan Maksimau, Catharina Stroppel
We define a higher level version of the affine Hecke algebra and prove that, after completion, this algebra is isomorphic to a completion of Webster's tensor product algebra of typ…
Fixed points in smooth Calogero-Moser spaces
Cédric Bonnafé, Ruslan Maksimau
We prove that every irreducible component of the fixed point variety under the action of -th roots of unity in a smooth Caloger-Moser space is isomorphic to a Calogero-Moser spa…
Categorical representations, KLR algebras and Koszul duality
Ruslan Maksimau
The parabolic category for affine at level admits a structure of a categorical representation of with respect…
Quiver Schur algebras and Koszul duality
Ruslan Maksimau
We prove that the category of graded finitely generated representations of the the cyclotomic quiver Schur algebra is a Koszul category.
Canonical basis, KLR-algebras and parity sheaves
Ruslan Maksimau
We give a construction of a basis of the positive part of the Drinfeld-Jimbo quantum enveloping algebra associated with a Dynkin quiver in terms of parity sheaves.