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.File in questo prodotto:
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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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