The Bruhat order on abelian ideals of Borel subalgebras
Algebraic Geometry
2024-08-05 v3 Representation Theory
Abstract
Let G be a quasi simple algebraic group over an algebraically closed field k whose characteristic is not very bad for G, and let B be a Borel subgroup of G with Lie algebra b. Given a B-stable abelian subalgebra a of the nilradical of b, we parametrize the B-orbits in a and we describe their closure relations.
Keywords
Cite
@article{arxiv.1806.08622,
title = {The Bruhat order on abelian ideals of Borel subalgebras},
author = {Jacopo Gandini and Andrea Maffei and Pierluigi Moseneder Frajria and Paolo Papi},
journal= {arXiv preprint arXiv:1806.08622},
year = {2024}
}
Comments
v3: 18 pages. Minor revision. To appear in Trasactions of the AMS