Comportement asymptotique des dimensions des covariants

Michel Brion; Jacques Dixmier

Bulletin de la Société Mathématique de France (1991)

  • Volume: 119, Issue: 2, page 217-230
  • ISSN: 0037-9484

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Brion, Michel, and Dixmier, Jacques. "Comportement asymptotique des dimensions des covariants." Bulletin de la Société Mathématique de France 119.2 (1991): 217-230. <http://eudml.org/doc/87623>.

@article{Brion1991,
author = {Brion, Michel, Dixmier, Jacques},
journal = {Bulletin de la Société Mathématique de France},
keywords = {representation in algebra of regular functions; algebraic group},
language = {fre},
number = {2},
pages = {217-230},
publisher = {Société mathématique de France},
title = {Comportement asymptotique des dimensions des covariants},
url = {http://eudml.org/doc/87623},
volume = {119},
year = {1991},
}

TY - JOUR
AU - Brion, Michel
AU - Dixmier, Jacques
TI - Comportement asymptotique des dimensions des covariants
JO - Bulletin de la Société Mathématique de France
PY - 1991
PB - Société mathématique de France
VL - 119
IS - 2
SP - 217
EP - 230
LA - fre
KW - representation in algebra of regular functions; algebraic group
UR - http://eudml.org/doc/87623
ER -

References

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  1. [1] BOURBAKI (N.). — Groupes et algèbres de Lie, Chap. 9. — Masson, 1982. Zbl0505.22006MR84i:22001
  2. [2] BROER (B.). — Hilbert series in invariant theory. — Thesis, Rijksuniversiteit te Utrecht, 1990. 
  3. [3] HOWE (R.). — Asymptotics of dimensions of invariants for finite groups, J. of Algebra, t. 122, 1989, p. 374-379. Zbl0693.20005MR90d:16001
  4. [4] KRAFT (H). — Geometrische Methoden in der Invariantentheorie. Aspects of mathematics, Vieweg & Sohn, Braunschweig, 1984. Zbl0569.14003MR86j:14006
  5. [5] MORALÈS (M.). — Fonctions de Hilbert, genre géométrique d'une singularité quasi-homogène de Cohen-Macaulay, C. R. Acad. Sci. Sér. I Math., t. 301, 1985, p. 699-702. Zbl0598.14045MR87e:14003
  6. [6] MUMFORD (D.) and FOGARTY (J.). — Geometric invariant theory. 2nd ed., Springer-Verlag, Ergebnisse der Mathematik und ihrer Grenzgebiete 34, 1982. Zbl0504.14008
  7. [7] POPOV V.L. — Contractions of the actions of reductive algebraic groups, Math. USSR Sbornik, t. 58, 1987, p. 311-335. Zbl0627.14033
  8. [8] SPRINGER (T.A.). — Invariant theory. — Lecture Notes in Math., 585, 1977. Zbl0346.20020MR56 #5740
  9. [9] SYLVESTER (J.J.). — Tables of the generating functions and ground-forms of the binary duodecimic, with some general remarks, and tables of the irreductible syzygies of certain quantics, Amer. J. Math., t. 4, 1881, p. 41-61. Zbl13.0100.03JFM13.0100.03

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