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arXiv:1011.5045 [math.RT]AbstractReferencesReviewsResources

The closure of a sheet is not always a union of sheets

Michael Bulois

Published 2010-11-23Version 1

In this note we answer to a frequently asked question. If G is an algebraic group acting on a variety V, a G-sheet of V is an irreducible component of V^(m), the set of elements of V whose G-orbit has dimension m. We focus on the case of the adjoint action of a semisimple group on its Lie algebra. We give two families of examples of sheets whose closure is not a union of sheets in this setting.

Comments: short note, 3 pages
Categories: math.RT
Subjects: 17B45, 20G05
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