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Invariants d’un sous-groupe unipotent maximal d’un groupe semi-simple. (French) Zbl 0475.14038


MSC:

14L30 Group actions on varieties or schemes (quotients)
20G20 Linear algebraic groups over the reals, the complexes, the quaternions
14L24 Geometric invariant theory
14L35 Classical groups (algebro-geometric aspects)
20G05 Representation theory for linear algebraic groups
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References:

[1] [1] , Geometric methods in invariant theory (à paraître dans les Springer Lecture Notes). · Zbl 0669.14003
[2] [2] , Hilbert functions of graded algebras, Adv. in Maths., 28 (1978), 57-83. · Zbl 0384.13012
[3] [3] , La série de Poincaré des U-invariants, C.R.A.S., Paris, t. 293 (21 septembre 1981). · Zbl 0476.22012
[4] [4] , Représentations irréductibles des groupes de Lie simples dont l’algèbre des U-invariants est régulière, C.R.A.S., Paris, t. 293 (2 novembre 1981). · Zbl 0485.22016
[5] [5] , , Linear Lie groups, Academic Press, 1968. · Zbl 0377.22001
[6] [6] , Constructive invariant theory, Astérique, n° 87-88 (1981), 303-334. · Zbl 0491.14004
[7] [7] , Stability criteria for the action of a semisimple group on a factorial manifold, Math. USSR Iszvestia, 4 (1970), 527-535. · Zbl 0261.14011
[8] [8] , On the invariant theory of SU2, Proc. of the Koninkl. Akad. van Wetenschappen, vol. 83 (3), 1980, 339-345. · Zbl 0449.22017
[9] [9] , Groupes et algèbres de Lie, chapitres 4 à 6 (Hermann). · Zbl 0483.22001
[10] [10] , Canonical form and stationary subalgebras of points of general position for simple linear Lie groups. Funct. Anal., 6 (1972), 44-53. · Zbl 0252.22015
[11] [11] , Representations of simple Lie groups with regular ring of invariants, Invent. Math., 49 (1978), 167-191. · Zbl 0391.20032
[12] [12] , Some remarks on nilpotent orbits, J. of Alg., 64 (1980), 190-213. · Zbl 0431.17007
[13] [13] , Representations of simple Lie groups with a free module of covariants, Invent. Math., 50 (1978), 1-12. · Zbl 0391.20033
[14] [15] , Lie group representations of polynomial rings, Amer. J. of Math., 85 (1963), 327-402. · Zbl 0124.26802
[15] [16] , Sur la théorie des invariants des groupes classiques, Ann. Inst. Fourier, 26, 1 (1976), 1-31. · Zbl 0314.20035
[16] [17] , , Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen, Comment. Math. Helv., 54 (1979), 61-104. · Zbl 0395.14013
[17] [18] , Singularités rationnelles et déformations, Inv. Math., 47 (1978), 139-147. · Zbl 0363.14002
[18] [19] , Groupes et algèbres de Lie, chap. VII (Hermann). · Zbl 0483.22001
[19] [20] , Maximal subgroups of the classical groups, A.M.S. Translations, vol. 6 (1957), 245-378. · Zbl 0077.03403
[20] [16] , Sem. Fac. Sc. Paris, 1954-1955. · Zbl 0217.36203
[21] [22] , Geometric invariant theory, Springer Verlag, 1965. · Zbl 0147.39304
[22] [23] , Observable subgroups and Hilbert’s fourteenth problem, Amer. J. of Math., 95 (1973), 229-253. · Zbl 0309.14039
[23] [24] , Über die vollen Invariantensysteme, Math. Annalen, 42 (1893), 313-373. · JFM 25.0173.01
[24] [25] , Desingularizations of varieties of nullforms, Inv. Math., 55 (1979), 141-163. · Zbl 0401.14006
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