Available in electronic format
Available in print format		 Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN: 1088-6834(e) ISSN: 0894-0347(p)
Previous issue | Table of contents | Next issue
Articles in press | Recently posted articles | Most recent issue | All issues
Previous Article | Next Article
     

Automorphisms, root systems, and compactifications of homogeneous varieties

Author(s): Friedrich Knop
Journal: J. Amer. Math. Soc. 9 (1996), 153-174.
MSC (1991): Primary 14L30, 14M17, 32M10
Retrieve article in: PDF DVI PostScript
This article is available free of charge

References | Similar articles | Additional information

References:

[BCP]
E. Bifet, C. De Concini, and C. Procesi, Cohomology of regular embeddings, Adv. Math. 82 (1990), 1--34. MR 91h:14052.

[Bou]
N. Bourbaki, Groupes et algèbres de Lie, Chap. 4, 5 et 6, Hermann, Paris, 1968. MR 39:1590.

[Br1]
M. Brion, Vers une généralisation des espaces symétriques, J. Algebra 134 (1990), 115--143. MR 91i:14039.

[Br2]
------, Variétés sphériques et théorie de Mori, Duke Math. J. 72 (1993), 369--404. MR 94j:14045.

[BP]
M. Brion and F. Pauer, Valuation des espaces homogènes sphériques, Comment. Math. Helv. 62 (1987), 265--285.MR 88h:14051.

[BLV]
M. Brion, D. Luna, and Th. Vust, Espaces homogènes sphériques, Invent. Math. 84 (1986), 617--632. MR 87g:14057.

[CP]
C. De Concini and C. Procesi, Complete symmetric varieties, Invariant Theory, Proceedings, Montecatini (F. Gherardelli, eds.), Lecture Notes in Math., vol. 996, Springer-Verlag, Heidelberg, Berlin, and New York, 1983, pp. 1--44. MR 85e:14070.

[DG]
M. Demazure and P. Gabriel, Groupes algébriques, North-Holland, Amsterdam, 1970. MR 46:1800.

[SGA]
M. Demazure and A. Grothendieck, Schémas en groupes, I, Séminaire de Géométrie Algébrique, Lecture Notes in Math., vol. 151, Springer-Verlag, Berlin, Heidelberg, and New York, 1970. MR 43:223.

[Gi]
V. Ginzburg, Admissible modules on a symmetric space, Orbites Unipotents et Répresen-
tations III. Orbites et Faisceaux Pervers, vol. 173-174, Astérisque, Soc. Math. France, 1989, pp. 199--255. MR 91c:22030.

[Kn1]
F. Knop, Weylgruppe und Momentabbildung, Invent. Math. 99 (1990), 1--23. MR 91f:14045.

[Kn2]
------, The Luna-Vust theory of spherical embeddings, Algebraic groups and its Applications (Hyderabad 1989) (S. Ramanan, ed.), Manoj Prakashan, Madras, 1991, pp. 225--249. MR 92d:20004.

[Kn3]
------, Über Bewertungen, welche unter einer reduktiven Gruppe invariant sind, Math. Ann. 295 (1993), 333--363. MR 94a:14050.

[Kn4]
------, A Harish-Chandra homomorphism for reductive group actions, Ann. of Math. 140 (1994), 253--288. CMP 95:02

[Kn5]
------, The asymptotic behavior of invariant collective motion, Invent. Math. 116 (1994), 309--328. MR 94m:14063.

[LV]
D. Luna and Th. Vust, Plongements d'espaces homogènes, Comment. Math. Helv. 58 (1983), 186--245. MR 85a:14035.

[Pau]
F. Pauer, ``Caractérisation valuative'' d'une classe de sous-groupes d'un groupe algébrique, C.R. du 109${}^{\mbox{e}}$ Congrès Nat. Soc. Sav. 3 (1984), 159--166.

[So]
L. Solomon, Invariants of finite reflection groups, Nagoya Math. J. 22 (1963), 57--64. MR 47:4872.

[Vu]
Th. Vust, Plongements d'espaces symétriques algébriques: une classification, Ann. Sci. Norm. Sup. Pisa Ser. IV 12 (1990), 165--195. MR 91m:14079.

[Sp]
Springer, T., Linear algebraic groups, Progr. Math., vol. 9, Birkhäuser-Verlag, Boston and Basel, 1981. MR 84i:20002.

Similar Articles:

Retrieve articles in Journal of the American Mathematical Society with MSC (1991): 14L30, 14M17, 32M10

Retrieve articles in all Journals with MSC (1991): 14L30, 14M17, 32M10

Additional Information:

Friedrich Knop
Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
Email: knop@math.rutgers.edu

DOI: 10.1090/S0894-0347-96-00179-8
PII: S 0894-0347(96)00179-8
Received by editor(s): February 18, 1993
Received by editor(s) in revised form: November 11, 1994
Additional Notes: The author was partially supported by Schweizerischer Nationalfonds zur Förderung der wissenschaftlichen Forschung.
Copyright of article: Copyright 1996, American Mathematical Society

Forward Citation(s):

Information for authors on submitting citations

The following works have cited this article

D. Luna,Grosses cellules pour les variétés sphériques,Algebraic groups and Lie groups, Austral. Math. Soc. Lect. Ser.,vol. 9, Cambridge Univ. Press, Cambridge, 1997, pp. 267-280.

B. Wasserman, Wonderful varieties of rank two,Transform. Groups 1(1996), 375-403. MR 97k:14051

D. Luna, Toute variété magnifique est sphérique,Transform. Groups 1(1996), 249-258. MR 97k:14066

  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2008, American Mathematical Society
Privacy Statement 		Search the AMSPowered by Google