66 citations
- Lomonosov Moscow State UniversityRU8 papers
- Landau Institute for Theoretical PhysicsRU5 papers
- University of TwenteNL5 papers
- Institute for Information Transmission ProblemsRU3 papers
- National Research University Higher School of EconomicsRU3 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
Generalised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles
Dmitri I. Panyushev
Let be a semisimple algebraic group and a Borel subgroup. We consider generalisations of Lusztig's q-analogues of weight multiplicity, where the set of positive roots is re…
Derived categories of Fano threefolds
Alexander Kuznetsov
We consider the structure of the derived categories of coherent sheaves on Fano threefolds with Picard number 1 and describe a strange relation between derived categories of differ…
Thom polynomials for maps of curves with isolated singularities
M. E. Kazarian, S. K. Lando
Thom (residual) polynomials in characteristic classes are used in the analysis of geometry of functional spaces. They serve as a tool in description of classes Poincaré dual to sub…
Regions in the dominant chamber and nilpotent orbits
Dmitri I. Panyushev
We give a geometric description for the dominant characteristic of a nilpotent orbit in an arbitrary finite-dimensional rational G-module. In particular, we obtain a generalization…
Some amazing properties of spherical nilpotent orbits
Dmitri I. Panyushev
Let $\g$ be simple Lie algebra. We give a conceptual proof for the fact that the nilpotent orbits of height 3 are spherical. It is shown that if the highest root of $\g$ is fundame…