@article{CM_1994__94_2_181_0, author = {Panyushev, Dmitri}, title = {The jacobian modules of a representation of a Lie algebra and geometry of commuting varieties}, journal = {Compositio Mathematica}, volume = {94}, year = {1994}, pages = {181-199}, mrnumber = {1302315}, zbl = {0834.17003}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1994__94_2_181_0} }
Panyushev, Dmitrii I. The jacobian modules of a representation of a Lie algebra and geometry of commuting varieties. Compositio Mathematica, Tome 94 (1994) pp. 181-199. http://gdmltest.u-ga.fr/item/CM_1994__94_2_181_0/
[Bo] Algèbre", Paris, Masson, 1970.
, "[BPV] The Jacobian module of a Lie algebra, Trans. Amer. Math. Soc. 321 (1990), 183-196. | MR 958883 | Zbl 0712.17004
, and ,[HSV] On the arithmetic and homology of algebras of linear type, Trans. Amer. Math. Soc. 283 (1984), 661-683. | MR 737891 | Zbl 0541.13005
, and ,[Kac] Some remarks on nilpotent orbits, J. Algebra 64 (1980), 190-213. | MR 575790 | Zbl 0431.17007
,[KR] Orbits and representations associated with symmetric spaces, Amer. J. Math. 93 (1971), 753-809. | MR 311837 | Zbl 0224.22013
and ,[Kn] Über die Glattheit von Quotientenabbildungen, Manuscripta Math. 56 (1986), 419-427. | MR 860731 | Zbl 0585.14033
,[K] Geometrische Methoden in der Invariantentheorie, Aspekte der Mathematik D1, Vieweg-Verlag, Braunschweig 1984. | MR 768181 | Zbl 0669.14003
,[LR] A generalization of the Chevalley restriction theorem, Duke Math. J. 46 (1979), 487-496. | MR 544240 | Zbl 0444.14010
and ,[Pa] On orbit spaces of finite and connected linear groups, Math. USSR-Izv. 20 (1983), 97-101. | MR 643895 | Zbl 0517.20019
,[P] Linear Lie groups acting with finitely many orbits, Functional Anal. Appl. 9 (1975), 351-353. | Zbl 0326.22004
,[Ri] Commuting varieties of semisimple Lie algebras and algebraic groups, Compositio Math. 38 (1979), 311-327. | Numdam | MR 535074 | Zbl 0409.17006
,[SV] Krull dimension and integrality of symmetric algebras, Manuscripta Math. 61 (1988), 63-78. | MR 939141 | Zbl 0687.13010
and ,[Vi1] The Weyl group of a graded Lie algebra, Math. USSR-Izv. 10 (1976), 463-495. | MR 430168 | Zbl 0371.20041
,[Vi2] Complexity of actions of reductive groups, Functional. Anal. Appl. 20 (1986), 1-11. | MR 831043 | Zbl 0601.14038
,[VP] Invariant theory", in: Contemporary problems in Math. Fundamental aspects, v. 55. Moscow, VINITI, 1989 (Russian). (English translation in: Encyclopaedia of Math. Sci., v. 55, Berlin-Springer, 1994.) | MR 1100485 | Zbl 0789.14008
and , "