Le centre des algèbres de coordonnées des groupes quantiques aux racines p α -ièmes de l’unité

Benjamin Enriquez

Bulletin de la Société Mathématique de France (1994)

  • Volume: 122, Issue: 4, page 443-485
  • ISSN: 0037-9484

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Enriquez, Benjamin. "Le centre des algèbres de coordonnées des groupes quantiques aux racines $p^\alpha $-ièmes de l’unité." Bulletin de la Société Mathématique de France 122.4 (1994): 443-485. <http://eudml.org/doc/87700>.

@article{Enriquez1994,
author = {Enriquez, Benjamin},
journal = {Bulletin de la Société Mathématique de France},
keywords = {center; coordinate ring; quantum groups at roots of unity; Poisson structure},
language = {fre},
number = {4},
pages = {443-485},
publisher = {Société mathématique de France},
title = {Le centre des algèbres de coordonnées des groupes quantiques aux racines $p^\alpha $-ièmes de l’unité},
url = {http://eudml.org/doc/87700},
volume = {122},
year = {1994},
}

TY - JOUR
AU - Enriquez, Benjamin
TI - Le centre des algèbres de coordonnées des groupes quantiques aux racines $p^\alpha $-ièmes de l’unité
JO - Bulletin de la Société Mathématique de France
PY - 1994
PB - Société mathématique de France
VL - 122
IS - 4
SP - 443
EP - 485
LA - fre
KW - center; coordinate ring; quantum groups at roots of unity; Poisson structure
UR - http://eudml.org/doc/87700
ER -

References

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  3. [B2] BOURBAKI (N.). — Algèbre commutative, vol. III. — Masson, Paris, 1985. 
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  6. [dCKP] DE CONCINI (C.), KAC (V.) and PROCESI (C.). — The Quantum Coadjoint Action, J. Amer. Math. Soc., t. 5, 1, 1992, p. 151-189. Zbl0747.17018MR93f:17020
  7. [dCL] DE CONCINI (C.) and LYUBASHENKO (V.). — Quantum Function Algebra at Roots of 1, Adv. in Math. (à paraître). Zbl0846.17008
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  11. [EGA] GROTHENDIECK (A.) avec la collaboration de J. DIEUDONNÉ. — Éléments de géométrie algébrique. — Publ. Math. IHES, IV, 1965. 
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  14. [L1] LUSZTIG (G.). — Quantum Groups at Roots of 1, Geom. Dedicata, t. 35, 1990, p. 89-114. Zbl0714.17013MR91j:17018
  15. [L2] LUSZTIG (G.). — Introduction to Quantized Enveloping Algebras, Preprint, 1990. 
  16. [L3] LUSZTIG (G.). — Canonical Bases Arising from Quantized Enveloping Algebras II, Common trends in mathematics and quantum fields theories (T. Eguchi and al., eds), Progr. Theor. Phys. suppl., t. 102, 1990, p. 175-201. Zbl0776.17012MR93g:17019
  17. [LS] LEVASSEUR (T.) and STAFFORD (J.T.). — The Quantum Coordinate Ring of the Special Linear Group, J. Pure and Applied Algebra, t. 86, 1993, p. 181-186. Zbl0784.17023MR94d:16038
  18. [Ro] ROSSO (M.). — Finite Dimensional Representations of the Quantum Analog of the Enveloping Algebra of a Complex Simple Lie Algebra, Comm. Math. Phys., t. 117, 1988, p. 581-593. Zbl0651.17008MR90c:17019
  19. [S] SOIBELMAN (Ya.S.). — Algebra of Functions on Compact Quantum Group and its Representations, Algebra i Analiz, t. 2, 1, 1990, p. 190-212. Zbl0708.46029

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