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Computing Stability of Products of Grassmannians with Fixed Total Dimension Using MAXIMA

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Bio-inspired Computing: Theories and Applications (BIC-TA 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 791))

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Abstract

We realize the Hilbert-Mumford stability of products of Grassmannians with fixed total dimension base on Mumford’s computation in [8] in the computer algebra system Maxima. The problem is reduced to be a discrete algorithm and by some techniques of strings in Maxima, the coding is universal and effective. This code can prove the classical results for point sets and lines in projective spaces in Geometric Invariant Theory.

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Authors and Affiliations

  1. Yau Mathematical Sciences Center, Tsinghua Univeristy, Haidian, Beiing, 10084, China

    Dun Liang

Authors
  1. Dun Liang
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Correspondence to Dun Liang .

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Editors and Affiliations

  1. School of Automation, Huazhong University of Science and Technology, Wuhan, China

    Cheng He

  2. Automation College, Harbin Engineering University, Harbin, China

    Hongwei Mo

  3. School of Automation, Huazhong University of Science and Technology, Wuhan, China

    Linqiang Pan

  4. Automation College, Harbin Engineering University, Harbin, China

    Yuxin Zhao

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Liang, D. (2017). Computing Stability of Products of Grassmannians with Fixed Total Dimension Using MAXIMA. In: He, C., Mo, H., Pan, L., Zhao, Y. (eds) Bio-inspired Computing: Theories and Applications. BIC-TA 2017. Communications in Computer and Information Science, vol 791. Springer, Singapore. https://doi.org/10.1007/978-981-10-7179-9_43

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  • DOI: https://doi.org/10.1007/978-981-10-7179-9_43

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-7178-2

  • Online ISBN: 978-981-10-7179-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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