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 math.COShow all

2 papers · 1 filter

math.CO2005

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…

math.CO2003

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…