On varieties in an orbital variety closure in semisimple Lie algebras

Anna Melnikov

doi:10.1016/j.jalgebra.2005.09.040

On varieties in an orbital variety closure in semisimple Lie algebras

Anna Melnikov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this note we discuss the closure of an orbital variety as a union of varieties. We show that if semisimple Lie algebra g contains factors not of type A_n then there are orbital varieties whose closure contains components which are not Lagrangian. We show that the argument does not work if all the factors are of type A_n and provide the facts supporting the conjecture claiming that if all the factors of g are of type A_n then the closure of an orbital variety is a union of orbital varieties.

Original language	English
Pages (from-to)	44-50
Number of pages	7
Journal	Journal of Algebra
Volume	295
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2005.09.040
State	Published - 1 Jan 2006

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2005.09.040

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On varieties in an orbital variety closure in semisimple Lie algebras

Abstract

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