@incollection{SB_1985-1986__28__163_0, author = {Dixmier, Jacques}, title = {Quelques r\'esultats de finitude en th\'eorie des invariants}, booktitle = {S\'eminaire Bourbaki : volume 1985/86, expos\'es 651-668}, series = {Ast\'erisque}, note = {talk:659}, pages = {163--175}, publisher = {Soci\'et\'e math\'ematique de France}, number = {145-146}, year = {1987}, mrnumber = {880031}, zbl = {0618.20026}, language = {fr}, url = {http://www.numdam.org/item/SB_1985-1986__28__163_0/} }
TY - CHAP AU - Dixmier, Jacques TI - Quelques résultats de finitude en théorie des invariants BT - Séminaire Bourbaki : volume 1985/86, exposés 651-668 AU - Collectif T3 - Astérisque N1 - talk:659 PY - 1987 SP - 163 EP - 175 IS - 145-146 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_1985-1986__28__163_0/ LA - fr ID - SB_1985-1986__28__163_0 ER -
%0 Book Section %A Dixmier, Jacques %T Quelques résultats de finitude en théorie des invariants %B Séminaire Bourbaki : volume 1985/86, exposés 651-668 %A Collectif %S Astérisque %Z talk:659 %D 1987 %P 163-175 %N 145-146 %I Société mathématique de France %U http://www.numdam.org/item/SB_1985-1986__28__163_0/ %G fr %F SB_1985-1986__28__163_0
Dixmier, Jacques. Quelques résultats de finitude en théorie des invariants, dans Séminaire Bourbaki : volume 1985/86, exposés 651-668, Astérisque, no. 145-146 (1987), Exposé no. 659, 13 p. http://www.numdam.org/item/SB_1985-1986__28__163_0/
[1] Simple linear Lie groups having a free algebra of invariants, Questions in group theory and homological algebra, Vyp. 2, Izdat. Yaroslav Gos. Univ., Yaroslav, 1979, 3-41. | MR | Zbl
and -[2] On stationary subgroups of points in general position in the representation space of a semisimple Lie group, Funktsional Anal. i Prilozhen, 5, 1971, 1-8. | MR | Zbl
and -[3] Groupes et algèbres de Lie, chap. 7-8, Paris, 1975. | Zbl
-[4] Rings of invariants of reductive groups acting on regular rings are Cohen - Macaulay, Adv. in Math., 13, 1974, 115-175. | MR | Zbl
and -[5] Sur les groupes linéaires algébriques dont l'algèbre des invariants est libre, C.R. Acad. Sci. Paris, 283, 1976, 875-878. | MR | Zbl
, et -[6] Root systems, representations of quivers and invariant theory, Lecture Notes in Math., 996, 1982. | MR | Zbl
-[7] Slices étales, Mém. Soc. Math. France, 33, p. 81-105. | Numdam | MR | Zbl
-[8] Adhérences d'orbites et invariants, Invent. Math., 29, 1975, 231-238. | MR | Zbl
-[9] A finiteness theorem for representations with a free algebra of invariants, Izv. Akad. Nauk SSSR, 46, 1982, 347-370. | MR | Zbl
-[10] Syzygies in the theory of invariants, Izv. Akad. Nauk SSSR, 47, 1983, 544-622. | MR | Zbl
-[11] Stability criteria for the action of a semisimple group on a factorial manifold, Izv. Akad. Nauk SSSR, 34, 1970, 523-531. | MR | Zbl
-[12] Représentations of simple Lie groups with regular ring of invariants, Invent. Math., 49, 1978, 167-191. | MR | Zbl
-[13] Combinatorial reciprocity theorems, Adv. in Math., 14, 1974, 194-253. | MR | Zbl
-[14] Combinatories and invariant theory, Proc. Sympos. Pure Math., 34, 1979, 345-355. | MR | Zbl
-[15] Seminar on algebraic groups and Lie groups, Izdat. Moskov. Gos. Univ., Moscow, 1969.
and -