Let an algebraic group be given, acting on a vector space. We consider the problem of deciding whether a given element of the vector space lies in the closure of the orbit of another given element. We describe three methods for dealing with this problem that have appeared in the literature. We illustrate the methods by examples.

Orbit closures of linear algebraic groups / De Graaf, Willem Adriaan. - 8942:(2015), pp. 76-93. [10.1007/978-3-319-15081-9_4]

Orbit closures of linear algebraic groups

De Graaf, Willem Adriaan
2015-01-01

Abstract

Let an algebraic group be given, acting on a vector space. We consider the problem of deciding whether a given element of the vector space lies in the closure of the orbit of another given element. We describe three methods for dealing with this problem that have appeared in the literature. We illustrate the methods by examples.
2015
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Heidelberg
Springer Verlag
9783319150802
De Graaf, Willem Adriaan
Orbit closures of linear algebraic groups / De Graaf, Willem Adriaan. - 8942:(2015), pp. 76-93. [10.1007/978-3-319-15081-9_4]
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Descrizione: This is a post-peer-review, pre-copyedit version of an article published in Computer Algebra and Polynomials. The final authenticated version is available online at: http://dx.doi.org/10.1007/978-3-319-15081-9_4
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/174523
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