66 citations
- Lomonosov Moscow State UniversityRU8 papers
- Landau Institute for Theoretical PhysicsRU7 papers
- University of TwenteNL5 papers
- Institute for Information Transmission ProblemsRU4 papers
- National Research University Higher School of EconomicsRU4 papers
- University of CologneDE3 papers
- P.N. Lebedev Physical Institute of the Russian Academy of SciencesRU2 papers
- Russian Academy of SciencesRU2 papers
- Bauman Moscow State Technical UniversityRU1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- EN-FIST Centre of Excellence (Slovenia)SI1 paper
- Indian Institute of Technology BombayIN1 paper
5 papers · 1 filter
Two dimensional current algebras and affine fusion product
B. Feigin, E. Feigin
In this paper we study a family of commutative algebras generated by two infinite sets of generators. These algebras are parametrized by Young diagrams. We explain a connection of…
Character formulas for the operad of two compatible brackets and for the bihamiltonian operad
Vladimir Dotsenko, Anton Khoroshkin
We compute dimensions of the components for the operad of two compatible brackets and for the bihamiltonian operad. We also obtain character formulas for the representations of the…
Bosonic formulas for affine branching functions
E. Feigin
In this paper we derive two bosonic (alternating sign) formulas for branching functions for general affine Kac-Moody Lie algebra $\g$. Both formulas are given in terms of the Weyl…
On the other side of the bialgebra of chord diagrams
V. Tourtchine
In the paper we describe complexes whose homologies are naturally isomorphic to the first term of the Vassiliev spectral sequence computing (co)homology of the spaces of long knots…
Schubert varieties and the fusion products
B. Feigin, E. Feigin
For each we define a Schubert variety as a closure of the $\Slt(\C[t])$-orbit in the projectivization of the fusion product . We clarify the connection of t…