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Pré-Publication, Document De Travail Année : 2010

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

Résumé

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.

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Dates et versions

hal-00660584 , version 1 (17-01-2012)
hal-00660584 , version 2 (29-03-2019)

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  • HAL Id : hal-00660584 , version 1

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Michael Bulois. The closure of a sheet is not always a union of sheets. 2010. ⟨hal-00660584v1⟩
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