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arXiv · 1505.00653

Minimal inversion complete sets and maximal abelian ideals

Dmitri I. Panyushev
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Abstract

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.)

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Dmitri I. Panyushev. 2015-05-04. Minimal inversion complete sets and maximal abelian ideals. https://doi.org/10.1016/j.jalgebra.2015.08.016

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