Independent University of Moscow

output

20022009

most citedSchubert Varieties, Linear Codes and Enumerative Combinatorics

26 citations

22 papers

math.RT2006

On symmetric invariants of centralisers in reductive Lie algebras

D. Panyushev, A. Premet, O. Yakimova

Let $g_{e}$ be the centraliser of a nilpotent element $e$ in a finite dimensional simple Lie algebra $g$ of rank $l$ over an algebraically closed field of characteristic 0. We invest…

math-ph2005

Mobius energy of graphs

Oleg Karpenkov

In the present paper we introduce Mobius energy for the embedded graphs and formulate its main properties. This energy is invariant under the action of the group generated by all i…

math.RT2005

The index of representations associated with stabilisers

Dmitri I. Panyushev, Oksana S. Yakimova

Let $Q$ be an algebraic group and $V$ a $Q$ -module. The index of $V$ is the minimal codimension of the $Q$ -orbits in the dual space $V^{*}$ . There is a general inequality, due to Vin…

math.CO2005

The poset of positive roots and its relatives

Dmitri I. Panyushev

Let $Δ$ be a root system with a subset of positive roots, $Δ^{+}$ . We consider edges of the Hasse diagrams of some posets associated with $Δ^{+}$ . For each edge one naturally defines i…

math.NT2004★ 2 cited

The Brauer-Siegel and Tsfasman-Vladut Theorems for Almost Normal Extensions of Number Fields

Alexey Zykin

The classical Brauer-Siegel theorem states that if $k$ runs through the sequence of normal extensions of $Q$ such that $n_{k} / lo g ∣ D_{k} ∣ \to 0,$ then $\log h_k R_k/\log \sqrt{…

math.GT2004

Energy of a knot: variational principles; Mm-energy

O. N. Karpenkov

Let $E_{f}$ be the energy of some knot $τ$ for any $f$ from certain class of functions. The problem is to find knots with extremal values of energy. We discuss the notion of the loca…