Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. Cayley, A second memoir upon quantics, Coll. Math. Papers II, 250–275, Cambridge Univ. Press, 1889.
E.B. Dynkin, Semi-simple subalgebras of semi-simple Lie algebras, Am. Math. Soc. Transl. Ser. 2, 6 (1957), 111–245 (=Mat. Sbornik N.S. 30 (1952), 349–462).
D. Hilbert, Über die vollen Invariantensysteme Ges. Abh., II2, 287–344, Springer-Verlag, 1970.
M. Hochster-J. Roberts, Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay, Adv. Math., 13(1974), 125–175.
V.G. Kac-V.L. Popov-E.B. Vinberg, Sur les groupes linéaires algébriques dont l’algèbre des invariants est libre, C.R. Acad. Sc. Paris, 283 (1976), 875–878.
G. Kempf, The Hochster-Roberts theorem of invariant theory, Mich. Math. J. 26 (1979), 19–32.
D. Luna, Slices étales, Bull. Soc. Math. France, Mémoire 33(1973), 81–105.
T. Molien, Über die Invarianten der linearen Substitutionsgruppen, Sitzungsber.K. Preuss.Akad. Wiss. (1897), 1152–1156.
M. Nagata, Local Rings, Interscience, 1962.
V.L. Popov, Constructive invariant theory, dans: Tableaux de Young et fonctions de Schur en algèbre et géométrie (conférence à Toruń), 303–334, Astérisque, vol. 87–88, Soc. Math. France, 1981.
V.L. Popov, Le théorème de finitude pour les représentations dont l’algèbre des invariants est libre (en russe), Izv. Akad. Nauk SSSR, 46(1982), 347–371.
G.W. Schwarz, Representations of simple Lie groups with regular rings of invariants, Inv. Math. 49 (1978), 167–191.
W. Smoke, Dimension and multiplicity for graded algebras, J. Alg. 21 (1972), 149–173.
T.A. Springer, Invariant theory, Lect. Notes in Math, no 585, Springer-Verlag, 1977.
T.A. Springer, On the invariant theory of SU2, Proc. Kon. Ak. v. Wet. Amsterdam A 83, (1980), 339–345.
R.P. Stanley, Combinatory reciprocity theorems, Adv. Math. 14 (1974), 194–253.
R.P. Stanley, Hilbert functions of graded algebras, Adv. Math. 28(1978), 57–83.
R.P. Stanley, Invariants of finite groups and their applications to combinatorics, Bull. Am. Math. Soc. (N.S.) 1 (1979), 475–511.
H. Weyl, The classical groups, Princeton Univ. Press, 1946.
H. Weyl, Zur Darstellungstheorie und Invariantenabzählung der projektiven, der Komplex-und der Drehungs gruppe, Ges. Abh. Bd. III, 1–25, Springer-Verlag, 1968.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1983 Springer-Verlag
About this paper
Cite this paper
Springer, T.A. (1983). Series de Poincare dans la theorie des invariants. In: Malliavin, MP. (eds) Séminaire d’Algèbre Paul Dubreil et Marie-Paule Malliavin. Lecture Notes in Mathematics, vol 1029. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098926
Download citation
DOI: https://doi.org/10.1007/BFb0098926
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12699-7
Online ISBN: 978-3-540-38686-5
eBook Packages: Springer Book Archive