An effective method to compute closure ordering for nilpotent orbits of θ-representations

We develop an algorithm for computing the closure of a given nilpotent G0-orbit in g1, where g1 and G0 are coming from a Z or a Z/mZ-grading g=⊕gi of a simple complex Lie algebra g.

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Bibliographic Details
Published inJournal of algebra Vol. 371; pp. 38 - 62
Main Authors de Graaf, W.A., Vinberg, E.B., Yakimova, O.S.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.12.2012
Subjects
Closure
Finite order automorphisms
Nilpotent orbits
Simple Lie algebras
Nilpotent orbits
Finite order automorphisms
Closure
Simple Lie algebras
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Summary:We develop an algorithm for computing the closure of a given nilpotent G0-orbit in g1, where g1 and G0 are coming from a Z or a Z/mZ-grading g=⊕gi of a simple complex Lie algebra g.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2012.07.040