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References and comments

  1. Collingwood D. H., McGovern W. M., Nilpotent orbits in semisimple Lie algebras, Van Nostrand Reinhold, 1993.

    Google Scholar 

  2. Dixmier J., Enveloping algebras, Graduate Studies in Math., 11, AMS, 1996.

    Google Scholar 

  3. Joseph A., The minimal orbit in a simple Lie algebra and its associated maximal ideal, Ann. Scient. Ec. Norm. Sup., 9, 1976, p. 1–30.

    Google Scholar 

  4. Kostant B., The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group, American J. of Math., 81, 1959, p. 973–1032

    Google Scholar 

  5. Kostant B., Lie group representations on polynomial rings, American J. of Math., 85, 1963, p. 327–402.

    Google Scholar 

  6. Muller I., Systèmes de racines orthogonales et orbites d’espaces préhomogènes, Thesis, Université de Strasbourg, 1996.

    Google Scholar 

  7. Steinberg R., Conjugacy classes in algebraic groups, Lectures notes in math., 366, Springer-Verlag, 1974.

    Google Scholar 

  8. Tauvel P., Introduction à la théorie des algèbres de Lie, Diderot, 1998.

    Google Scholar 

  9. Vinberg E. B., On the classification of homogeneous nilpotent elements of a graded Lie algebra, Soviet. Math. Dokl, 16, 1975, p. 1517–1520.

    Google Scholar 

  10. Vinberg E. B., Classification of homogeneous nilpotent elements of a simple graded Lie algebra, Selecta Math. Sovietica, 6, 1987, p. 15–35.

    Google Scholar 

  11. Joseph A., The minimal orbit in a simple Lie algebra and its associated maximal ideal, Ann. Scient. Ec. Norm. Sup., 9, 1976, p. 1–30.

    Google Scholar 

  12. Steinberg R., Conjugacy classes in algebraic groups, Lectures notes in math., 366, Springer-Verlag, 1974.

    Google Scholar 

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(2005). Results on orbits. In: Lie Algebras and Algebraic Groups. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27427-8_34

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