Vol. 245, No. 1, 2010

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A classification of spherical conjugacy classes in good characteristic

Giovanna Carnovale

Vol. 245 (2010), No. 1, 25–45
Abstract

We classify spherical conjugacy classes in a simple algebraic group over an algebraically closed field of good, odd characteristic.

Keywords
algebraic group, conjugacy class, Bruhat decomposition, spherical homogeneous space
Mathematical Subject Classification 2000
Primary: 20E45, 20F55, 20G99
Secondary: 14M15
Milestones
Received: 1 December 2008
Revised: 7 May 2009
Accepted: 11 June 2009
Published: 20 January 2010
Authors
Giovanna Carnovale
Dipartimento di Matematica Pura ed Applicata
Torre Archimede
via Trieste, 63
35121 Padova
Italy
www.math.unipd.it/~carnoval