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On nonnormality of affine quasi-homogeneous SL (2,ℂ) - Varieties

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Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin

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References

  1. Grace, J.H. and Young, A., The algebra of invariants, Cambridge Univ. Press, (1903).

    Google Scholar 

  2. Grosshans, F., Observable groups and Hilbert's fourteenth problem, Amer. J. Math. 95 (1973), 229–253.

    Article  MathSciNet  MATH  Google Scholar 

  3. Hadžiev, D., Some questions in the theory of vector invariants, Math. USSR Sbornik 1 (1967), 383–396.

    Article  MATH  Google Scholar 

  4. Hesselink, W., Designularizations of varieties of nullforms, Invent. Math. 55 (1979), 141–163.

    Article  MathSciNet  MATH  Google Scholar 

  5. Humphreys, J.E., Linear algebraic groups, Springer GTM 21 (1975).

    Google Scholar 

  6. Jordan, C., Memoire sur les covariants des formes binaires, Journal de Math. (3) 2 (1876), 177–233 and (3) 5 (1879), 345–378.

    MATH  Google Scholar 

  7. Kraft, H., Geometrische Methoden in der Invariantentheorie Vorlesungsausarbeitung, Bonn WS 77/78.

    Google Scholar 

  8. Kraft, H. and Procesi, C., Closures of conjugacy classes of matrices are normal, Invent. Math. 53 (1979), 227–247.

    Article  MathSciNet  MATH  Google Scholar 

  9. Luna, D. and Vust, Th., Plongements d'espaces homogenes, preprint (1981).

    Google Scholar 

  10. Mumford, D., Geometric invariant theory, Erg. der Math. 34 Springer Verlag (1970).

    Google Scholar 

  11. Popov, V.L., Quasihomogeneous affine algebraic varieties of the groups Sl(2), Math. USSR Izv. 7 No. 4, (1973), 793–831.

    Article  MATH  Google Scholar 

  12. Popov, V.L., Structure of the closure of orbits in spaces of finite-dimensional linear Sl(2)-représentations, Math. Notes 16 (No. 6 (1974), 1159–1162.

    Article  MATH  Google Scholar 

  13. Schur, I., Vorlesungen über Invariantentheorie, Grundl. Math. Wiss. 143, Springer Verlag (1968).

    Google Scholar 

  14. Springer, T.A., Invariant theory, Lecture Notes in Math. 585, Springer Verlag (1977).

    Google Scholar 

  15. Vust, Th., Sur la theorie des invariants des groupes classiques, Ann. Inst. Fourier 26 (2) (1976), 1–31.

    Article  MathSciNet  MATH  Google Scholar 

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Marie-Paule Malliavin

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© 1982 Springer-Verlag

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Bartels, D. (1982). On nonnormality of affine quasi-homogeneous SL (2,ℂ) - Varieties. In: Malliavin, MP. (eds) Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin. Lecture Notes in Mathematics, vol 924. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092942

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  • DOI: https://doi.org/10.1007/BFb0092942

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11496-3

  • Online ISBN: 978-3-540-39188-3

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