Classification des espaces homogènes sphériques

M. Brion

Compositio Mathematica (1987)

  • Volume: 63, Issue: 2, page 189-208
  • ISSN: 0010-437X

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Brion, M.. "Classification des espaces homogènes sphériques." Compositio Mathematica 63.2 (1987): 189-208. <http://eudml.org/doc/89857>.

@article{Brion1987,
author = {Brion, M.},
journal = {Compositio Mathematica},
keywords = {spherical homogeneous space; spherical pair},
language = {fre},
number = {2},
pages = {189-208},
publisher = {Martinus Nijhoff Publishers},
title = {Classification des espaces homogènes sphériques},
url = {http://eudml.org/doc/89857},
volume = {63},
year = {1987},
}

TY - JOUR
AU - Brion, M.
TI - Classification des espaces homogènes sphériques
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 63
IS - 2
SP - 189
EP - 208
LA - fre
KW - spherical homogeneous space; spherical pair
UR - http://eudml.org/doc/89857
ER -

References

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  1. [A] D.N. Ahiezer: Actions with a finite number of orbits. Funct. Analysis Appl.19 (1985) 1-4. Zbl0576.14045MR783700
  2. [BLV] M. Brion, D. Luna and Th. Vust: Espaces homogènes sphériques. Inventiones Math.84 (1986) 617-632. Zbl0604.14047MR837530
  3. [B1] M. Brion: Quelques propriétés des espaces homogènes sphériques. Manuscripta Math.55 (1986) 191-198. Zbl0604.14048MR833243
  4. [B2] M. Brion: Classification des espaces homogènes sphériques. C.R.A.S. Paris, t. 301, série 1, n 18 (1985) 813-816. Zbl0605.14042MR822838
  5. [B3] M. Brion: Représentations exceptionnelles des groupes semi-simples. Ann. Scient. Ec. Norm. Sup. t.18 (1985) 345-387. Zbl0588.22010MR816368
  6. [BT] A. Borel and J. Tits: Groupes réductifs. Publications mathématiques de l'I.H.E.S. no 27 (1965) 55-150. Zbl0145.17402MR207712
  7. [D] E.B. Dynkin: Semisimple subalgebras of semisimple algebras. A.M.S. Translations series 2, vol. 6, pp. 11-244. Zbl0077.03404
  8. [GS] V. Guillemin et S. Sternberg: Multiplicity-free spaces. J. Diff. Geom.19 (1984) 31-56. Zbl0548.58017MR739781
  9. [He] S. Helgason: Differential Geometry, Lie Groups and Symmetric Spaces. Academic Press (1978). Zbl0451.53038MR514561
  10. [Hu] J.E. Humphreys: Linear algebraic groups. Graduate Text in Mathematics no 21 (Springer-Verlag). Zbl0325.20039MR396773
  11. [K] M. Krämer: Sphärische Untergruppen in kompakten zusammenhängenden Liegruppen. Compositio Math.38 (1979) 129-153. Zbl0402.22006MR528837
  12. [K'] M. Krämer: Multiplicity-free subgroups of compact connected Lie groups. Arch. Math. (Basel) 27 (1976) 28-36. Zbl0322.22011MR399373
  13. [Ka] V. Kac: Some remarks on nilpotent orbits. J. of Alg.64 (1980) 190-213. Zbl0431.17007MR575790
  14. [M] I.V. Mikityuk: On the integrability of invariant hamiltonian systems with homogeneous configuration spaces (en russe). Math. Sbornik129 (171) (1986) 514-534. Zbl0621.70005MR842398

Citations in EuDML Documents

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  1. Ihor Mykytyuk, Anatoly Stepin, Classification of almost spherical pairs of compact simple Lie groups
  2. Domingo Luna, Variétés sphériques de type A
  3. Gerhard Röhrle, On normal abelian subgroups in parabolic groups
  4. Paolo Bravi, Stéphanie Cupit-Foutou, Classification of strict wonderful varieties
  5. Giovanna Carnovale, Spherical conjugacy classes and the Bruhat decomposition
  6. Paolo Bravi, Classification of spherical varieties
  7. Ivan Losev, Uniqueness properties for spherical varieties

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