Plongements d'espaces symétriques algébriques : une classification

Thierry Vust

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1990)

  • Volume: 17, Issue: 2, page 165-195
  • ISSN: 0391-173X

How to cite

top

Vust, Thierry. "Plongements d'espaces symétriques algébriques : une classification." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 17.2 (1990): 165-195. <http://eudml.org/doc/84070>.

@article{Vust1990,
author = {Vust, Thierry},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {classification of embeddings of symmetric homogeneous spaces},
language = {fre},
number = {2},
pages = {165-195},
publisher = {Scuola normale superiore},
title = {Plongements d'espaces symétriques algébriques : une classification},
url = {http://eudml.org/doc/84070},
volume = {17},
year = {1990},
}

TY - JOUR
AU - Vust, Thierry
TI - Plongements d'espaces symétriques algébriques : une classification
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1990
PB - Scuola normale superiore
VL - 17
IS - 2
SP - 165
EP - 195
LA - fre
KW - classification of embeddings of symmetric homogeneous spaces
UR - http://eudml.org/doc/84070
ER -

References

top
  1. [BHM] A. Bialynicki-Birula - G. Hochschild - G. MOSTOW, Extensions of representations of algebraic linear groups, Amer. J. Math.85 (1963), 131-144. Zbl0116.02302MR155938
  2. [Br] M. Brion, Quelques propriétés des espaces homogènes sphériques, Prépublication de l'Institut Fourier, 24 (1985). MR833243
  3. [BLV] M. Brion - D. Luna - TH. VUST, Espaces homogènes sphériques, Invent. Math.84 (1986), 617-632. Zbl0604.14047MR837530
  4. [D] V.I. Danilov, The geometry of toric varieties, Russian Math. Surveys33 (1978), 97-154. Zbl0425.14013MR495499
  5. [DGMP] C. De Concini - M. Goresky - R. Macpherson - C. Procesi, On the geometry of quadrics and their degenerations, Preprint. Zbl0693.14023
  6. [DS] S. Helgason, Differential geometry, Lie groups and symmetric spaces, Academic Press (1978). Zbl0451.53038MR514561
  7. [DSp] C. De Concini - T.A. Springer, Betti numbers of complete symmetric varieties, In Geometry today, Int. conf. Roma (1984), Prog. Math.60 (1985), 87-104. Zbl0596.14040MR895149
  8. [DP] I.C. De Concini - C. Procesi, Complete symmetric varieties, In Invariant theory, Proceedings, Montecatini, 1982, Springer LN 996 (1983), 1-44. Zbl0581.14041MR718125
  9. [DP]II C. De Concini - C. Procesi, Complete symmetric varieties II, In Algebraic groups and related topics, Proc. Symp. Kyoto and Nagoya1983, Adv. Stud. Pure Math.6 (1985), 481-513. Zbl0596.14041
  10. [DP]III C. De Concini - C. Procesi, Cohomology of compactifications of algebraic groups, Duke Math. J.533 (1986), 585-594. Zbl0614.14013MR860662
  11. [DP]IV C. De Concini - C. Procesi, Cohomology of complete algebraic groups and Hilbert's 15th problem, Preprint. 
  12. [GGA] S. Helgason, Groups and geometric analysis, Academic Press (1984). Zbl0543.58001MR754767
  13. [Ko] B. Kostant, Lie group representations on polynomial rings, Amer. J. Math.85 (1963), 327-404. Zbl0124.26802MR158024
  14. [Lo] O. Loos, Symmetric spaces, Vol. I, II. Benjamin (1969). Zbl0175.48601
  15. [Lu] D. Luna, Adhérences d'orbite et invariants, Invent. Math.29 (1975), 231-238. Zbl0315.14018MR376704
  16. [LV] D. Luna - TH. Vust, Plongements d'espaces homogènes, Comment. Math. Helv.58 (1983), 186-245. Zbl0545.14010MR705534
  17. [M] T. Matsuki, The orbits of affine symmetric spaces under the action of minimal parabolic subgroups, J. Math. Soc. Japan31 (1979), 332-357. Zbl0396.53025MR527548
  18. [P] V.L. Popov, Picard groups of homogeneous spaces of linear algebraic groups and one dimensional homogeneous vector bundles, Math. USSR-Izv.8 (1974), 301-327. Zbl0301.14018
  19. [R] R.W. Richardson, Orbits, invariants and representations associated to involutions of reductives groups, Invent. Math.66 (1982), 287-312. Zbl0508.20021MR656625
  20. [Sa] I. Satake, On representations and compactifications of symmetric riemannian spaces, Ann. of Math.71 (1960), 77-110. Zbl0094.34603MR118775
  21. [Sp] T.A. Springer, Some results on algebraics groups with involutions, In Algebraic groups and related topics, Proc. Symp. Kyoto and Nagoya1983, Adv. Stud. Pure Math.6 (1985), 525-543. Zbl0628.20036MR803346
  22. [St] R. Steinberg, Endomorphisms of linear algebraic groups, Memoirs of the AMS80 (1980). Zbl0164.02902
  23. [Su] H. Sumihiro, Equivariant completion, J. Math. Kyoto Univ.14 (1974) 1-28. Zbl0277.14008MR337963
  24. [TE] G. Kempf et al., Toroidal embeddings, Springer LN 339 (1973). Zbl0271.14017
  25. [Uz] T. Uzawa, On equivariant completion of algebraic symmetric spaces, In Algebraic and topological theories - to the memory of Dr. T. Miyata (1985), 569-577. Zbl0800.14025MR1102275
  26. [Vi] E.B. Vinberg, Complexity of action of reductive groups, Functional Anal. Appl.20 (1986), 1-11. Zbl0601.14038MR831043
  27. [VP] E.B. Vinberg - V.L. Popov, On a class of quasihomogeneous affine varieties, Math. USSR-Izv.6 (1972) 4, 743-758. Zbl0255.14016
  28. [Vo] V.E. Voskresenskii, Picard groups of linear algebraic groups, Studies in Number theory 3, Izdat. Saratov Univ., Saratov (1969), 7-16. Zbl0254.14015MR271116
  29. [Vr] L. Vretare, Elementary spherical functions on symmetric spaces, Math. Scand.39 (1976), 343-358. Zbl0387.43009MR447979
  30. [V] TH. Vust, Opération de groupes réductifs dans un type de cônes presque homogènes, Bull. Soc. Math. France102 (1974), 317-334. Zbl0332.22018MR366941

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.