Invariant ideals of polynomial algebras with multiplicity free group action
Compositio Mathematica, Tome 71 (1989) no. 2, pp. 181-227.
@article{CM_1989__71_2_181_0,
     author = {Ruitenburg, G. C. M.},
     title = {Invariant ideals of polynomial algebras with multiplicity free group action},
     journal = {Compositio Mathematica},
     pages = {181--227},
     publisher = {Kluwer Academic Publishers},
     volume = {71},
     number = {2},
     year = {1989},
     mrnumber = {1012639},
     zbl = {0729.22013},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1989__71_2_181_0/}
}
TY  - JOUR
AU  - Ruitenburg, G. C. M.
TI  - Invariant ideals of polynomial algebras with multiplicity free group action
JO  - Compositio Mathematica
PY  - 1989
SP  - 181
EP  - 227
VL  - 71
IS  - 2
PB  - Kluwer Academic Publishers
UR  - http://archive.numdam.org/item/CM_1989__71_2_181_0/
LA  - en
ID  - CM_1989__71_2_181_0
ER  - 
%0 Journal Article
%A Ruitenburg, G. C. M.
%T Invariant ideals of polynomial algebras with multiplicity free group action
%J Compositio Mathematica
%D 1989
%P 181-227
%V 71
%N 2
%I Kluwer Academic Publishers
%U http://archive.numdam.org/item/CM_1989__71_2_181_0/
%G en
%F CM_1989__71_2_181_0
Ruitenburg, G. C. M. Invariant ideals of polynomial algebras with multiplicity free group action. Compositio Mathematica, Tome 71 (1989) no. 2, pp. 181-227. http://archive.numdam.org/item/CM_1989__71_2_181_0/

[Ab] S. Abeasis, Gli ideali GL(V)-invarianti in S(S2 V), Rendiconti Matematica (2), 13, serie IV (1980) 235-262. | Zbl

[ADF] S. Abeasis and A. Del Fra, Young diagrams and ideas of pfaffians, Adv. in Math. 35 (1980) 158-178. | MR | Zbl

[AM] M.F. Atiyah and I.G. Macdonald, Introduction to commutative algebra, Addison Wesley (1969). | MR | Zbl

[Br] M. Brion, Representations exceptionnelles des groupes semi-simples, Ann. scient. Ec. Norm. Sup. 4e série, t.18 (1985) 345-387. | Numdam | MR | Zbl

[CP] C De Concini and C. Procesi, Complete symmetric varieties, Lect. Notes in Math. 996, Springer Verlag (1983). | MR | Zbl

[CEP] C. De Concini, D. Eisenbud and C. Procesi, Young diagrams and determinantal varieties, Inventiones Math. 56 (1980) 129-165. | MR | Zbl

[D] L. Dickson, A class of groups in an arbitrary realm connected with the configuration of the 27 lines on a cubic surface, Quarterly J. Pure and Appl. Math. 33 (1901) 145-173. | JFM

[EH] D. Eisenbud and M. Hochster, A Nullstellensatz with nilpotents, and Zariski's main lemma on holomorphic functions Journal of Algebra 58 (17) 157-161. | MR | Zbl

[F] H. Freudenthal, Beziehungen der E7 und E8 zur Oktavenebene VIII, Proc. Kon. Ak. v. Wet. A62 (1959) 447-465. | Zbl

[HO] G.J. Heckman and E.M. Opdam, Root systems and hypergeometric functions I, Comp. Math. 64, (3) (1987) 329-352. | Numdam | MR | Zbl

[H] G.J. Heckman, Root systems and hypergeometric functions II, Comp. Math. 64, (3) (1987) 353-373. | Numdam | MR | Zbl

[Hel1] S. Helgason, Differential geometry, Lie groups and symmetric spaces, Acad. Press. (1978). | MR | Zbl

[He12] S. Helgason, Groups and geometric analysis, Acad. Press. (1984). | MR | Zbl

[He13] S. Helgason, A duality for symmetric spaces with applications to group representations, Adv. in Math. 5 (1970) 1-154. | MR | Zbl

[Hu1] J.E. Humphreys, Introduction to Lie algebras and representation theory, Springer Verlag (1972). | MR | Zbl

[Hu2] J.E. Humphreys, Linear algebraic groups, Springer Verlag (1975). | MR | Zbl

[Ka] V.G. Kac, Some remarks on nilpotent orbits, Journal of Algebra 64 (1980) 190-213. | MR | Zbl

[Kr] H. Kraft, Geometrische Methoden in der Invariantentheorie, Friedr. Vieweg & Sohn (1984). | MR | Zbl

[LV] R. Lazarsfeld and A. Van De Ven, Topics in the geometry of projective space, Recent Work of F.L. Zak, Birkhäuser (1984). | MR | Zbl

[M] I.G. Macdonald, Symmetric functions and Hall polynomials, Clarendon Press., Oxford (1979). | MR | Zbl

[R] R.W. Richardson, Orbits, Invariants, and Representations Associated to Involutions of Reductive Groups, Inventiones Math. 66 (1982) 287-312. | MR | Zbl

[V1] T. Vust, Opération de groupes réductifs dans un type de cônes presque homogènes, Bull. Soc. math. France 102 (1974) 317-333. | Numdam | MR | Zbl

[V2] T. Vust, Sur la théorie des invariants des groupes classiques, Ann. Inst. Fourier, Grenoble 26 (1) (1976) 1-31. | Numdam | MR | Zbl

[ZS] O. Zariski and P. Samuel, Commutative algebra, Vol. II, D. van Nostrand Company (1960). | MR | Zbl