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Spécialisation des groupes quantiques à une racine de l’unité et représentations de dimension finie

Références

  • And1992 Henning Haahr Andersen. Tensor products of quantized tilting modules. Comm. Math. Phys., 149(1):149–159, 1992.
  • AP1995 Henning Haahr Andersen and Jan Paradowski. Fusion categories arising from semisimple Lie algebras. Comm. Math. Phys., 169(3):563–588, 1995.
  • APW1991 Henning Haahr Andersen, Patrick Polo and Kexin Wen. Representations of quantum algebras Invent. Math., 104, 1–59
  • CP1994 Vyjayanthi Chari and Andrew Pressley. A guide to quantum groups. Cambridge University Press, Cambridge, 1994.
  • Hum1972 James E. Humphreys. Introduction to Lie Algebras and Representation Theory. Springer-Verlag, New York, 1972.
  • KazLus1991 David Kazhdan and George Lusztig. Affine Lie Algebras and Quantum Groups. International Mathematics Research Notices, 1991
  • Lus1989 George Lusztig. Modular Representations and Quantum Groups in Classical Groups and Related Topics Contemporary Mathematics, Amer. Math. Soc., volume 82, 1989
  • Lus1990a George Lusztig. Finite-dimensional Hopf algebras arising from quantized universal enveloping algebra. J. Amer. Math. Soc., 3(1):257–296, 1990.
  • Lus1990b George Lusztig. Quantum groups at roots of 1. Geom. Dedicata, 35(1-3):89–113, 1990.
  • Lus1990c George Lusztig. On Quantum Groups Journal of Algebra, 131, 466–475, 1990.
  • Lus1993 George Lusztig. Introduction to Quantum Groups, Birkhäuser 1993
  • Par1992 Jan Paradowski. Filtrations of modules over quantum algebras Proc. Symp. in Pure Math. 56, Part 2, 1994, pp. 93–108.
  • Ros1988 Marc Rosso. Finite Dimensional Representations of the Quantum Analog of the Enveloping Algebra of a Complex Simple Lie Algebra. Commun. Math. Phys. 117 (1988), 581-593.
  • Saw2010 Stephen F. Sawin. Quantum groups at roots of unity and modularity. preprint, arXiv: math.QA/0308281. 2010.