Weyl elements in isotropic reductive groups

Fuente: arXiv
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Main Author: Voronetsky, Egor
Format: Preprint
Published: 2026
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author Voronetsky, Egor
author_facet Voronetsky, Egor
contents We study Weyl elements in isotropic reductive groups over commutative rings. Our main result in an explicit formula for squares of such elements. We also classify these elements in rank one groups and prove basic properties of their loci.
format Preprint
id arxiv_https___arxiv_org_abs_2601_14419
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Weyl elements in isotropic reductive groups
Voronetsky, Egor
Representation Theory
Group Theory
20G35
We study Weyl elements in isotropic reductive groups over commutative rings. Our main result in an explicit formula for squares of such elements. We also classify these elements in rank one groups and prove basic properties of their loci.
title Weyl elements in isotropic reductive groups
topic Representation Theory
Group Theory
20G35
url https://arxiv.org/abs/2601.14419