Bases des représentations des groupes simples complexes [d'après Kashiwara, Lusztig, Ringel et al.]
Séminaire Bourbaki : volume 1990/91, exposés 730-744, Astérisque, no. 201-202-203 (1991), Exposé no. 743, 22 p. 
@incollection{SB_1990-1991__33__421_0,
     author = {Mathieu, Olivier},
     title = {Bases des repr\'esentations des groupes simples complexes [d'apr\`es {Kashiwara,} {Lusztig,} {Ringel} et al.]},
     booktitle = {S\'eminaire Bourbaki : volume 1990/91, expos\'es 730-744},
     series = {Ast\'erisque},
     note = {talk:743},
     pages = {421--442},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {201-202-203},
     year = {1991},
     mrnumber = {1157850},
     zbl = {0755.17002},
     language = {fr},
     url = {http://www.numdam.org/item/SB_1990-1991__33__421_0/}
}
TY  - CHAP
AU  - Mathieu, Olivier
TI  - Bases des représentations des groupes simples complexes [d'après Kashiwara, Lusztig, Ringel et al.]
BT  - Séminaire Bourbaki : volume 1990/91, exposés 730-744
AU  - Collectif
T3  - Astérisque
N1  - talk:743
PY  - 1991
SP  - 421
EP  - 442
IS  - 201-202-203
PB  - Société mathématique de France
UR  - http://www.numdam.org/item/SB_1990-1991__33__421_0/
LA  - fr
ID  - SB_1990-1991__33__421_0
ER  - 
%0 Book Section
%A Mathieu, Olivier
%T Bases des représentations des groupes simples complexes [d'après Kashiwara, Lusztig, Ringel et al.]
%B Séminaire Bourbaki : volume 1990/91, exposés 730-744
%A Collectif
%S Astérisque
%Z talk:743
%D 1991
%P 421-442
%N 201-202-203
%I Société mathématique de France
%U http://www.numdam.org/item/SB_1990-1991__33__421_0/
%G fr
%F SB_1990-1991__33__421_0
Mathieu, Olivier. Bases des représentations des groupes simples complexes [d'après Kashiwara, Lusztig, Ringel et al.], dans Séminaire Bourbaki : volume 1990/91, exposés 730-744, Astérisque, no. 201-202-203 (1991), Exposé no. 743, 22 p. http://www.numdam.org/item/SB_1990-1991__33__421_0/

[BLM] A. Beilinson, G. Lusztig et R. Mcpherson - A geometric setting for quantum groups, Duke Math. J. 61 (1990), 655-. | MR | Zbl

[BZ] A. Berenstein et A. Zelevinsky - Tensor product multiplicities and convex polytopes in partition space, preprint (1989). | MR

[DJM] E. Date, M. Jimbo et T. Miwa - Representation of Uqgln(C) at q = 0 and the Robinson-Shensted correspondence Phys. and Math. of strings (vol. à la mémoire de V. Kniznik) W. Sc., Singapour (1990), 185-211. | MR | Zbl

[DK] C. De Concini et D. Kazhdan - Special bases for Sn and GLn, Isr. J. Math. 40 (1981), 416-432. | Zbl

[Dr] V. Drinfeld - Hopf algebras and the Yang-Baxter equations, Soviet Math. Dokl. 32 (1985), 254-258. | Zbl

[Gi] V. Ginzburg - Lagrangian constructions of the enveloping algebra of U(sln), preprint (1990).

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

[Ka1] M. Kashiwara - Crystallizing the q-analog of universal enveloping algebras, Comm. Math. Phys. 133 (1990), 249-260. | MR | Zbl

[Ka2] M. Kashiwara - On crystal bases of the Q-analog of universal enveloping algebras, preprint (1990). | MR

[Ka3] M. Kashiwara - Crystallizing the q-analogue of universal enveloping algebras, Proceedings ICM 90 (Kyoto). | Zbl

[KN] M. Kashiwara et T. Nakashima - Crystal graphs of the q-analog of classical Lie algebras, RIMS preprint.

[KMN1] M. Kashiwara, S. Kang, K. Misra, T. Miwa, T. Nakashima et S. Nakayashiki - Affine crystal and vertex models (en préparation). | Zbl

[KMN2] M. Kashiwara, S. Kang, K. Misra, T. Miwa, T. Nakashima et S. Nakayashiki - Perfect crystals of quantized enveloping algebras (en préparation).

[LMS] V. Lakshmibai, C. Musili et C. Seshadri - Geometry of G/P IV, Proc. Ind. Acad. Sc. 99 (1979), 279-362. | MR | Zbl

[L] V. Lakshmibai - Standard monomial theory for SLn, preprint (1991). | MR

[LS] V. Lakshmibai et C. Seshadri - Geometry of G/P V, J. of Algebra 100 (1986), 462-557. | MR | Zbl

[Li] P. Littleman - A generalization of the Littlewood-Richardson rule, preprint (1987). | MR

[Lu1] G. Lusztig - Canonical bases arising from quantized enveloping algebras I, Journal of A.M.S. 3 (1990), 447-498. | MR | Zbl

[Lu2] G. Lusztig - Canonical bases arising from quantized enveloping algebras II, preprint (1990). | MR

[Lu3] G. Lusztig - Quivers, perverse sheaves and quantized enveloping algebras, preprint. | MR

[Lu4] G. Lusztig - Quivers, perverse sheaves and quantized enveloping algebras, preprint. | MR

[Ma] O. Mathieu - Good bases for G-modules, Geometrica Dedicata (Tits volume) 36 (1990), 51-66. | MR | Zbl

[MM] K. Misra et T. Miwa - Crystal basis for the basic representation of Uq(sln), preprint.

[N] T. Nakashima - A basis of symmetric tensor representations for the quantum analogue of the Lie algebras An, Bn, Cn, Dn, Publ. RIMS, Kyoto Univ. 26 (1990), 723-733. | MR | Zbl

[Ri] C. Ringel - Hall algebras and quantum troups, Inv. Math. 101 (1990), 583-592. | MR | Zbl

[St] R. Steinberg - A general Clebsch-Gordan theorem, Bull. Amer. Math. Soc. 67 (1961), 406-407. | MR | Zbl