Keywords
- Conjugacy Class
- Classical Group
- General Linear Group
- Nilpotent Orbit
- Jordan Decomposition
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References
A. Borel and Harish-Chandra, "Arithmetic subgroups of algebraic groups", Ann. of Math. 75(1962), 485–535.
N. Bourgoyne and R. Cushman, "Conjugacy classes in linear groups", J. of Algebra 44(1977), 339–362.
J. Dixmier, "Polarizations dans les algèbres de Lie semisimples complexes", Bull. Sc. Math. 2 e serie, 99(1975), 45–63.
D. Ž. Djoković, "Closures of conjugacy classes in the classical complex Lie groups", Houston J. Math. (to appear).
M. Gerstenhaber, "On dominance and varieties of commuting matrices", Ann. of Math. 73(1961), 324–348.
M. Gerstenhaber, "Dominance over the classical groups", Ann. of Math. 74(1961), 532–569.
W. Hesselink, "Singularities in the nilpotent scheme of a classical group", Trans. Amer. Math. Soc., 222(1976), 1–32.
K. R. Parthasarathy, "Eigenvalues of matrix-valued analytic maps", J. Austral. Math. Soc. (series A), 26(1978), 179–197.
V. S. Varadarajan, Lie groups, Lie algebras, and their representations, Prentice-Hall, Inc., 1974.
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© 1981 Springer-Verlag
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Djoković, D.Ž. (1981). Closures of conjugacy classes in classical real linear Lie groups. In: Amayo, R.K. (eds) Algebra Carbondale 1980. Lecture Notes in Mathematics, vol 848. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090557
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DOI: https://doi.org/10.1007/BFb0090557
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