Représentations de groupes quantiques et permutations

Éric Vasserot

Annales scientifiques de l'École Normale Supérieure (1993)

  • Volume: 26, Issue: 6, page 747-773
  • ISSN: 0012-9593

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Vasserot, Éric. "Représentations de groupes quantiques et permutations." Annales scientifiques de l'École Normale Supérieure 26.6 (1993): 747-773. <http://eudml.org/doc/82355>.

@article{Vasserot1993,
author = {Vasserot, Éric},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {representations of quantum groups; flag manifold; equivariant cohomology; permutations},
language = {fre},
number = {6},
pages = {747-773},
publisher = {Elsevier},
title = {Représentations de groupes quantiques et permutations},
url = {http://eudml.org/doc/82355},
volume = {26},
year = {1993},
}

TY - JOUR
AU - Vasserot, Éric
TI - Représentations de groupes quantiques et permutations
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1993
PB - Elsevier
VL - 26
IS - 6
SP - 747
EP - 773
LA - fre
KW - representations of quantum groups; flag manifold; equivariant cohomology; permutations
UR - http://eudml.org/doc/82355
ER -

References

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  1. [B] M. BOTT, Homogeneous vector bundles (Ann. of Math.), vol. 66, 1957, p. 203-248. Zbl0094.35701MR19,681d
  2. [BLM] A. BEILINSON, G. LUSZTIG et R. MAC PHERSON, A Geometric Setting for Quantum Groups (Duke Math. J., bf 61, 1990, p. 655-677). Zbl0713.17012MR91m:17012
  3. [BM] W. BORHO, R. MACPHERSON, Partial Resolution of Nilpotent Varieties (Astérisque, vol. 101-102, 1983, p. 23-74). Zbl0576.14046MR85j:14087
  4. [BT] R. BOTT et L. W. TU, Differential Forms in Algebraic Topology, Springer-Verlag, 1982. Zbl0496.55001MR83i:57016
  5. [BGG] I. N. BERNSTEIN, I. M. GELF'AND et S. I. GELF'AND, Schubert Cells and the Cohomologie of the Spaces G/P (Usp. Mat. Nauk., vol. 28, 1973, p. 3-29). Zbl0289.57024MR55 #2941
  6. [BGV] N. BERLINE, E. GETZLER et M. VERGNE, Heat Kernels and Dirac Operators, Springer-Verlag, 1992. Zbl0744.58001MR94e:58130
  7. [D] V. G. DRINFELD, Hopf algebras and the Quantum Yang-Baxter Equation (Soviet. Math. Dokl., vol. 32, 1985, p. 254-258. Zbl0588.17015MR87h:58080
  8. [G] V. GINZBURG, Lagrangian Constructions of the Envelopping Algebra of U(sln) (C. R. Acad. Sci. Paris, vol. 312, série I, 1991, p. 907-912. Zbl0749.17009MR92c:17017
  9. [J] M. JIMBO, A q-difference analogue of U(ɡ) and the Yang-Baxter Equation (Lett. Math. Phys., vol. 10, 1985, p. 63-69. Zbl0587.17004MR86k:17008
  10. [L] G. LUSZTIG, Quantum Deformations of Certain Simple Modules Over Enveloping Algebras (Adv. in Math., vol. 70, 1988, p. 237-249. Zbl0651.17007MR89k:17029
  11. [Se] G. SEGAL, Equivariant K-theory (Inst. Hautes Études Sci. Publ. Math., vol. 34, 1968, p. 129-151. Zbl0199.26202MR38 #2769

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