Analogues de la forme de Killing et du théorème d'Harish-Chandra pour les groupes quantiques

Marc Rosso

Annales scientifiques de l'École Normale Supérieure (1990)

  • Volume: 23, Issue: 3, page 445-467
  • ISSN: 0012-9593

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Rosso, Marc. "Analogues de la forme de Killing et du théorème d'Harish-Chandra pour les groupes quantiques." Annales scientifiques de l'École Normale Supérieure 23.3 (1990): 445-467. <http://eudml.org/doc/82276>.

@article{Rosso1990,
author = {Rosso, Marc},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {infinitesimal character; Quantum groups; Killing form; Harish-Chandra theorem; q-analog; complete reducibility; representations},
language = {fre},
number = {3},
pages = {445-467},
publisher = {Elsevier},
title = {Analogues de la forme de Killing et du théorème d'Harish-Chandra pour les groupes quantiques},
url = {http://eudml.org/doc/82276},
volume = {23},
year = {1990},
}

TY - JOUR
AU - Rosso, Marc
TI - Analogues de la forme de Killing et du théorème d'Harish-Chandra pour les groupes quantiques
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1990
PB - Elsevier
VL - 23
IS - 3
SP - 445
EP - 467
LA - fre
KW - infinitesimal character; Quantum groups; Killing form; Harish-Chandra theorem; q-analog; complete reducibility; representations
UR - http://eudml.org/doc/82276
ER -

References

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  1. [1] A. BOREL, Communication privée. 
  2. [2] V. G. DRINFLED, Quantum Groups (Proc. of I.C.M., Berkeley, 1986). 
  3. [3] J. E. HUMPHREYS, Finite and Infinite Dimensional Modules for Semisimple Lie Algebras, dans Lie Theories and their Applications, Queen's Papers in Pure Appl. Math., n° 48. Zbl0392.17006MR80i:17009
  4. [4] M. JIMBO, A q-Difference Analog of Ug and the Yank, Baxter Equation (Lett. Math. Phys., Vol. 10, 1985, p. 63-69). Zbl0587.17004MR86k:17008
  5. [5] M. JIMBO, A q-Analog of U(gl(N + 1)), Hecke Algebras and the Yang-Baxter Equation (Lett. Math. Phys., vol. 11, 1986, p. 247-252). Zbl0602.17005MR87k:17011
  6. [6] G. LUSZTIG, Quantum Deformations of Certain Simple Modules over Enveloping Algebras (Adv. Maths., vol. 70, 1988, p. 237-249). Zbl0651.17007MR89k:17029
  7. [7] M. ROSSO, Finite Dimensional Representations of the Quantum Analog of the Enveloping Algebra of a Complex Simple Lie Algebra (Comm. Math. Phys., vol. 117, 1988, p. 581-593). Zbl0651.17008MR90c:17019
  8. [8] M. ROSSO, An Analogue of P.B.W. Theorem and the Universal R-matrix for Uhsl(N + 1) (Comm. Math. Phys., vol. 124, 1989, p. 307-318). Zbl0694.17006MR90h:17019

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