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Computing invariants

Part of the Lecture Notes in Mathematics book series (LNM,volume 1278)

Keywords

  • Invariant Theory
  • Maximal Torus
  • Dual Cone
  • Numerical Criterion
  • Null Cone

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References

  1. P. Gordon, Vorlesungen über Invariantentheorie, vol. 1, p. 199, Teubner, Leipzig, 1885.

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  2. D. Hilbert, Über die Theorie der algebraischen Formen, Math. Ann. 36, 1890, p. 473–534.

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  3. _____, Über die vollen Invariantensysteme, Math. Ann. 42, 1893, p. 313–373.

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  4. M. Hochster and J. Roberts, Rings of invariants are Cohen-Macaulay, Adv. in Math, 13, 1974, p. 115–175.

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  5. G. Kempf, Instability in invariant theory, Ann. of Math, 108 (1978) p. 299–316.

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  6. _____, The Hochster-Roberts theorem of invariant theory, Mich. Math. Jour. 26, 1979, p. 19–32.

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  7. E. Noether, Math. Ann. 77, 1916, p. 89–92.

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  8. D. Mumford, Geometric Invariant Theory, Erg. der Math 34, Springer, 1982.

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  9. V. Popov, Constructive Invariant Theory, p. 303–334, Asterisque 87–88.

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  10. H. Weyl, Theorie der Darstellung kontinuierlicher halbeinfacher Gruppen durch lineare Transformationen, Math. Zeit. 24 (1926), p. 377–395.

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© 1987 Springer-Verlag

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Kempf, G.R. (1987). Computing invariants. In: Koh, S.S. (eds) Invariant Theory. Lecture Notes in Mathematics, vol 1278. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078808

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  • DOI: https://doi.org/10.1007/BFb0078808

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18360-0

  • Online ISBN: 978-3-540-47908-6

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