@article{CM_1994__92_3_299_0, author = {Kang, Seok-Jin and Kashiwara, Masaki and Misra, Kailash C.}, title = {Crystal bases of Verma modules for quantum affine Lie algebras}, journal = {Compositio Mathematica}, volume = {94}, year = {1994}, pages = {299-325}, mrnumber = {1286129}, zbl = {0808.17007}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1994__92_3_299_0} }
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C. Crystal bases of Verma modules for quantum affine Lie algebras. Compositio Mathematica, Tome 94 (1994) pp. 299-325. http://gdmltest.u-ga.fr/item/CM_1994__92_3_299_0/
[D] Hopf algebra and the Yang-Baxter equation. Soviet Math. Dokl. 32 (1985) 254-258. | Zbl 0588.17015
:[J] A q-difference analogue of U(g) and the Yang-Baxter equation. Lett. Math. Phys. 10 (1985) 63-69. | MR 797001 | Zbl 0587.17004
:[JMMO] Combinatorics of representations of U q(šl(n)) at q = 0. Commun. Math. Phys. 136 (1991) 543-566. | MR 1099695 | Zbl 0749.17015
, , and :[K1] Crystalizing the q-analogue of universal enveloping algebras. Commun. Math. Phys. 133 (1990) 249-260. | MR 1090425 | Zbl 0724.17009
:[K2] On crystal bases of the q-analogue of universal enveloping algebras. Duke Math. J. 63 (1991) 465-516. | MR 1115118 | Zbl 0739.17005
:[KKM] Crystal bases of Verma modules for quantum affine Lie algebras. RIMS preprint 887 (1992).
, and :[KMN1] Vertex models and crystals. C. R. Acad. Sci. Paris t.315, Série I (1992) 375-380. | MR 1179041 | Zbl 0776.17008
, , , , and :[KMN2] Affine crystals and vertex models. Int. J. Mod. Phys. A. Suppl. 1A (1992), 449-484. | MR 1187560 | Zbl 0925.17005
, , , , and :[KMN3] Perfect crystals of quantum affine Lie algebras. Duke Math. J. 68 (1992) 499-607. | MR 1194953 | Zbl 0774.17017
, , , , and :[KM1] Crystal bases and tensor product decomposition of Uq(G2)-modules. J. Algebras, to appear. | MR 1265857 | Zbl 0808.17006
and :[KM2] The quantum affine Lie algebra Uq(C(1)n) and crystal base. Manuscript in preparation.
and :[KN] Crystal graphs for representations of the q-analogue of classical Lie algebras. RIMS preprint 767 (1991), J. Algebra, to appear. | MR 1273277 | Zbl 0808.17005
and :[Li] Crystal graphs and Young tableaux. Preprint (1991). | MR 1338967 | Zbl 0831.17004
:[Lu1] Canonical bases arising from quantized enveloping algebra. J. Amer. Math. Soc. 3 (1990) 447-498. | MR 1035415 | Zbl 0703.17008
:[Lu2] Canonical bases arising from quantized enveloping algebra II. Progr. Theor. Phys. Suppl. 102 (1990) 175-201. | MR 1182165 | Zbl 0776.17012
:[LG] A comparison of bases of quantized enveloping algebras. Linear algebraic groups and their representations. Contemporary Mathematics 153 (1993) 11-19. | MR 1247495 | Zbl 1009.17502
and :[MM] Crystal base for the basic representation of Uq(šl(n)). Commun. Math. Phys. 134 (1990) 79-88. | MR 1079801 | Zbl 0724.17010
and :[N] Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras. Commun. Math. Phys. 154 (1993) 215-243. | MR 1224078 | Zbl 0795.17016
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