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Weyl elements in isotropic reductive groups

Representation Theory 2026-05-08 v2 Group Theory

Abstract

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.

Keywords

Cite

@article{arxiv.2601.14419,
  title  = {Weyl elements in isotropic reductive groups},
  author = {Egor Voronetsky},
  journal= {arXiv preprint arXiv:2601.14419},
  year   = {2026}
}

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