26 citations
- Lomonosov Moscow State UniversityRU5 papers
- University of TwenteNL5 papers
- University of CologneDE3 papers
- Institute for Information Transmission ProblemsRU2 papers
- Landau Institute for Theoretical PhysicsRU2 papers
- National Research University Higher School of EconomicsRU2 papers
- Russian Academy of SciencesRU2 papers
- Indian Institute of Technology BombayIN1 paper
- Max Planck Institute for MathematicsDE1 paper
- Research Institute for System StudiesRU1 paper
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- University of ManchesterGB1 paper
8 papers · 1 filter
Zhu's algebras, -algebras and abelian radicals
Boris Feigin, Evgeny Feigin, Peter Littelmann
This paper consists of three parts. In the first part we prove that Zhu's and -algebras in type have the same dimensions. In the second part we compute the graded decompos…
Cherednik algebras for algebraic curves
Michael Finkelberg, Victor Ginzburg
For any smooth algebraic curve C, Pavel Etingof introduced a `global' Cherednik algebra as a natural deformation of the cross product of the algebra of differential operators on C^…
The argument shift method and maximal commutative subalgebras of Poisson algebras
Dmitri I. Panyushev, Oksana S. Yakimova
Let be the symmetric algebra of an algebraic Lie algebra. We provide a sufficient condition for the maximality of Poisson commutative subalgebras of obtained by the argumen…
On symmetric invariants of centralisers in reductive Lie algebras
D. Panyushev, A. Premet, O. Yakimova
Let be the centraliser of a nilpotent element in a finite dimensional simple Lie algebra of rank over an algebraically closed field of characteristic 0. We invest…
The index of representations associated with stabilisers
Dmitri I. Panyushev, Oksana S. Yakimova
Let be an algebraic group and a -module. The index of is the minimal codimension of the -orbits in the dual space . There is a general inequality, due to Vin…
Normalizers of ad-nilpotent ideals
Dmitri I. Panyushev
Let $\be$ be a Borel subalgebra of a complex simple Lie algebra $\g$. An ideal of $\be$ is called ad-nilpotent, if it is contained in $[\be,\be]$. We give several descriptions of t…