D. Panyushev

activity

19992006

most citedAbelian ideals of a Borel subalgebra and long positive roots

7 citations · 10 across the 13 of their papers we have counts for

collaborators

Showing 2005Show all

2 papers · 1 filter

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…