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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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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