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Orbit Closures of Linear Algebraic Groups

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Computer Algebra and Polynomials

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8942))

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Trento, Trento, Italy

    Willem A. de Graaf

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  1. Willem A. de Graaf
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Correspondence to Willem A. de Graaf .

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Editors and Affiliations

  1. University of Cantabria, Santander, Spain

    Jaime Gutierrez

  2. Ricam Linz, Linz, Austria

    Josef Schicho

  3. University of Caen, Caen, France

    Martin Weimann

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de Graaf, W.A. (2015). Orbit Closures of Linear Algebraic Groups. In: Gutierrez, J., Schicho, J., Weimann, M. (eds) Computer Algebra and Polynomials. Lecture Notes in Computer Science(), vol 8942. Springer, Cham. https://doi.org/10.1007/978-3-319-15081-9_4

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  • DOI: https://doi.org/10.1007/978-3-319-15081-9_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15080-2

  • Online ISBN: 978-3-319-15081-9

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