University of Sydney Algebra Seminar

Dmitri Panyushev (Institute for information transmission problems of the Russian academy of sciences)

Friday 10 March, 12-1pm, Place: Carslaw 375

Minimal inversion complete sets in Weyl groups and maximal abelian ideals.

Let \(\mathfrak{b}\) be a Borel subalgebra of a simple Lie algebra \(\mathfrak{g}\) and \(W\) the Weyl group. In my talk, I explain 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, 2015).