Birational sheets in reductive groups

DOI10.1007/S00209-020-02597-3arXiv2002.11551MaRDI QIDQ6335628

Publication date: 26 February 2020

Abstract: We define the group analogue of birational sheets, a construction performed by Losev for reductive Lie algebras. For G semisimple simply connected, we describe birational sheets in terms of Lusztig-Spaltenstein induction and we prove that they form a partition of G, and that they are unibranch varieties with smooth normalization by means of a local study.

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

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