Représentations * des groupes de Lie compacts semi simples

Mohamed Houssem Tlili

Annales de la Faculté des sciences de Toulouse : Mathématiques (2000)

  • Volume: 9, Issue: 3, page 551-564
  • ISSN: 0240-2963

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Houssem Tlili, Mohamed. "Représentations $\ast $ des groupes de Lie compacts semi simples." Annales de la Faculté des sciences de Toulouse : Mathématiques 9.3 (2000): 551-564. <http://eudml.org/doc/73526>.

@article{HoussemTlili2000,
author = {Houssem Tlili, Mohamed},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {representation; geometric quantization; Moyal product},
language = {fre},
number = {3},
pages = {551-564},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Représentations $\ast $ des groupes de Lie compacts semi simples},
url = {http://eudml.org/doc/73526},
volume = {9},
year = {2000},
}

TY - JOUR
AU - Houssem Tlili, Mohamed
TI - Représentations $\ast $ des groupes de Lie compacts semi simples
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2000
PB - UNIVERSITE PAUL SABATIER
VL - 9
IS - 3
SP - 551
EP - 564
LA - fre
KW - representation; geometric quantization; Moyal product
UR - http://eudml.org/doc/73526
ER -

References

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  1. [1] Arnal ( D.), Cahen ( M.) et Gutt ( S.). - Representation of compact Lie groups and quantisation by deformation. Académie Royale de Belgique. Bulletin de la classe des sciences. 5 série - Tome LXXIV (1988), pp. 123-141. Zbl0681.58016MR1027456
  2. [2] Arnal ( D.), Cortet ( J.C.). - *-product in the method of orbits for nilpotent groups. J. Geom. and Phys.2,2, p. 85-116 (1985). Zbl0599.22012MR845469
  3. [3] Bayen ( F.), Flato ( M.), Fronsdal ( C.), Lichnérowicz ( A.), Sternheimer ( D.). — Deformation Theory and quantization. Ann. of physics.111 (1978), pp. 61-110 et 111-151. Zbl0377.53025MR496157
  4. [4] Ben Ammar ( M.) et Tlili ( M.H.). - Produit * sur le fibré tangent du groupe U(n). Travaux Mathématiques. Luxembourg. Fascicule X (1998), pp. 1-13. Zbl0930.22010MR1678915
  5. [5] Gutt ( S.). - An explicit *-product on the cotangent bundle of a Lie group. Letters in Mathematical physics, 7 (1983), pp. 249-258. Zbl0522.58019MR706215
  6. [6] Helgason ( S.). — Differentiel Geometry, Lie groups, and Symmetric spaces. Academic Press, New York (1978). Zbl0451.53038MR514561
  7. [7] Pukanszky ( L.). - Leçons sur les représentations des groupes. Monographies de la Société Mathématique de France. DunodParis (1967). Zbl0152.01201MR217220
  8. [8] Pontryagin ( L.S.). — Topological groups. Edition Gordon and Breach, New York (1966). MR898007
  9. [9] Theodor ( B.) and Tammo ( D.). — Representation of compact Lie groups. Springer Verlag, Berlin (1998). 
  10. [10] Zahir ( H.). — Représentation *-régulière des groupes de Lie compacts. Thèse de l'université de Metz (1992). 
  11. [11] Varadarajan ( V.S.). - Lie groups, Lie algebras, and their representations. Springer Verlag, Berlin (1984). Zbl0955.22500

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