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2026-01-20 19:28 UTC · math.RT · math.RT, math.GR

Weyl elements in isotropic reductive groups

Egor Voronetsky

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.
arXiv abstractPDF

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