Invariants des nœuds, catégories tensorielles et groupes quantiques
Kassel, Christian
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 43 (1992), p. 81-102 / Harvested from Numdam
Publié le : 1992-01-01
@article{RCP25_1992__43__81_0,
     author = {Kassel, Christian},
     title = {Invariants des n\oe uds, cat\'egories tensorielles et groupes quantiques},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     volume = {43},
     year = {1992},
     pages = {81-102},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/RCP25_1992__43__81_0}
}
Kassel, Christian. Invariants des nœuds, catégories tensorielles et groupes quantiques. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 43 (1992) pp. 81-102. http://gdmltest.u-ga.fr/item/RCP25_1992__43__81_0/

[Ca] P. Cartier. - Développements récents sur les groupes de tresses. Applications à la topologie et l'algèbre, Sém. Bourbaki n° 716, 1989-90. | Numdam | Zbl 0737.57001

[De] P. Deligne. - Catégories tannakiennes, The Grothendieck Festschrift, vol. II, Progress in Math. 87, 1990, p. 111-195, Birkhäuser. | MR 1106898 | Zbl 0727.14010

[DM] P. Deligne, J. S. Milne. - Tannakian categories, Lect. Notes in Math. 900, 1982, p. 101-228, Springer Verlag. | Zbl 0477.14004

[Dr] V. G. Drinfeld. - Quantum groups, Proc. ICM Berkeley 1986, vol 1, 1987, p. 798-820. | MR 934283

[FY] P. Freyd, D. Yetter. - Braided compact closed categories with applications to low dimensional topology, Adv. Math. 77, 1989, p. 156-182. | MR 1020583 | Zbl 0679.57003

[Ji] M. Jimbo. - A q-difference analogue of U(g) and the Yang-Baxter equation, Letters Math. Phys. 10, 1985, p. 63-69. | MR 797001 | Zbl 0587.17004

[JS] A. Joyal, R. Street. - Braided tensor categories, Macquarie Math. Report, 1986. | Zbl 0817.18007

[Lu] G. Lusztig. - Quantum deformations of certain simple modules over enveloping algebras, Adv. Math. 70, 1989, p. 237-249. | MR 954661 | Zbl 0651.17007

[Mj] S. Majid. - Quasitriangular Hopf algebras and Yang-Baxter equations, Int. J. Modern Phys. A 5(1), 1990, p. 1-91. | MR 1027945 | Zbl 0709.17009

[RTF] N. Yu. Reshetikhin, L. A. Takhtajian, L. D. Faddeev. - Quantization of Lie groups and Lie algebras, Leningrad Math. J. 1, 1990, p. 193-225. | MR 1015339 | Zbl 0715.17015

[RT] N. Yu. Reshetikhin, V. G. Turaev. - Ribbon graphs and their invariants derived from quantum groups, Commun. Math. Phys. 127, 1990, p. 1-26. | MR 1036112 | Zbl 0768.57003

[Ro] M. Rosso. - Finite dimensional representations of the quantum analogue of the enveloping algebra of a complex simple Lie algebra, Commun. Math. Phys. 117, 1988, p. 581-593. | MR 953821 | Zbl 0651.17008

[SR] S. Saavedra Rivano. - Catégories tannakiennes, Lect. Notes in Math. 265, Springer Verlag, 1972. | Zbl 0241.14008

[Tu 1] V. G. Turaev. - The Yang-Baxter equation and invariants of links, Invent. Math. 92, 1988, p. 527-553. | MR 939474 | Zbl 0648.57003

[Tu 2] V. G. Turaev. - Operator in variants of tangles and R-matrices, Math. USSR Izv. 35, 1990, p. 411-444. | MR 1024455 | Zbl 0707.57003

[Ye 1] D. N. Yetter. - Quantum groups and representations of monoidal categories, Math. Proc. Cambridge Phil. Soc. 108, 1990, p. 261-290. | MR 1074714 | Zbl 0712.17014

[Ye 2] D. N. Yetter. - Coalgebras, comodules, coends and reconstruction, preprint.