66 citations
- Lomonosov Moscow State UniversityRU8 papers
- Landau Institute for Theoretical PhysicsRU7 papers
- National Research University Higher School of EconomicsRU5 papers
- University of TwenteNL5 papers
- Institute for Information Transmission ProblemsRU4 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
4 papers · 1 filter
On orbits of antichains of positive roots
Dmitri I. Panyushev
For any finite poset P, there is a natural operator acting on the antichains of P. We discuss conjectural properties of this operator for some graded posets associated with irr…
The poset of positive roots and its relatives
Dmitri I. Panyushev
Let be a root system with a subset of positive roots, . We consider edges of the Hasse diagrams of some posets associated with . For each edge one naturally defines i…
Schubert Varieties, Linear Codes and Enumerative Combinatorics
Sudhir R. Ghorpade, Michael A. Tsfasman
We consider linear error correcting codes associated to higher dimensional projective varieties defined over a finite field. The problem of determining the basic parameters of such…
Short antichains in root systems, semi-Catalan arrangements, and B-stable subspaces
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 $[\be,\be]$. The generators of an ad-nilpotent…