The Bruhat order on abelian ideals of Borel subalgebras

Fuente: arXiv
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Main Authors: Gandini, Jacopo, Maffei, Andrea, Frajria, Pierluigi Moseneder, Papi, Paolo
Format: Preprint
Published: 2018
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_version_ 1866914896131653632
author Gandini, Jacopo
Maffei, Andrea
Frajria, Pierluigi Moseneder
Papi, Paolo
author_facet Gandini, Jacopo
Maffei, Andrea
Frajria, Pierluigi Moseneder
Papi, Paolo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1806_08622
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle The Bruhat order on abelian ideals of Borel subalgebras
Gandini, Jacopo
Maffei, Andrea
Frajria, Pierluigi Moseneder
Papi, Paolo
Algebraic Geometry
Representation Theory
17M17, 14M27, 17B08
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.
title The Bruhat order on abelian ideals of Borel subalgebras
topic Algebraic Geometry
Representation Theory
17M17, 14M27, 17B08
url https://arxiv.org/abs/1806.08622