Dmitri I. Panyushev
Published 2015-05-04Version 1
Let $\mathfrak g$ be a simple Lie algebra, $\mathfrak b$ a fixed Borel subalgebra, and $W$ the Weyl group of $\mathfrak g$. In this note, we study a relationship between the maximal abelian ideals of $\mathfrak b$ and the minimal inversion complete sets of $W$. The latter have been recently defined by Malvenuto et al. (J. Algebra, 424 (2015), 330-356.)
Normalisers of abelian ideals of a Borel subalgebra and $\mathbb Z$-gradings of a simple Lie algebra
Casimir elements associated with Levi subalgebras of simple Lie algebras and their applications
The Dynkin index and sl(2)-subalgebras of simple Lie algebras
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