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Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.
Crystal bases of Verma modules for quantum affine Lie algebras. Compositio Mathematica, 92 no. 3 (1994), p. 299-325
Full text djvu | pdf | Reviews MR 1286129 | Zbl 0808.17007
stable URL: http://www.numdam.org/item?id=CM_1994__92_3_299_0
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[KKM] Kang, S.-J., Kashiwara, M. and Misra, K.C.: Crystal bases of Verma modules for quantum affine Lie algebras. RIMS preprint 887 (1992).
[KMN1] Kang, S.-J., Kashiwara, M., Misra, K.C., Miwa, T., Nakashima, T. and Nakayashiki, A.: Vertex models and crystals. C. R. Acad. Sci. Paris t.315, Série I (1992) 375-380. MR 1179041 | Zbl 0776.17008
[KMN2] Kang, S.-J., Kashiwara, M., Misra, K.C., Miwa, T., Nakashima, T. and Nakayashiki, A.: Affine crystals and vertex models. Int. J. Mod. Phys. A. Suppl. 1A (1992), 449-484. MR 1187560 | Zbl 0925.17005
[KMN3] Kang, S.-J., Kashiwara, M., Misra, K.C., Miwa, T., Nakashima, T. and Nakayashiki, A.: Perfect crystals of quantum affine Lie algebras. Duke Math. J. 68 (1992) 499-607.
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[KM1] Kang, S.-J. and Misra, K.C.: Crystal bases and tensor product decomposition of Uq(G2)-modules. J. Algebras, to appear. MR 1265857 | Zbl 0808.17006
[KM2] Kang, S.-J. and Misra, K.C.: The quantum affine Lie algebra Uq(C(1)n) and crystal base. Manuscript in preparation.
[KN] Kashiwara, M. and Nakashima, T.: 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
[Li] Littelmann, P.: Crystal graphs and Young tableaux. Preprint (1991). MR 1338967 | Zbl 0831.17004
[Lu1] Lusztig, G.I.: Canonical bases arising from quantized enveloping algebra. J. Amer. Math. Soc. 3 (1990) 447-498. MR 1035415 | Zbl 0703.17008
[Lu2] Lusztig, G.I.: Canonical bases arising from quantized enveloping algebra II. Progr. Theor. Phys. Suppl. 102 (1990) 175-201. MR 1182165 | Zbl 0776.17012
[LG] Lusztig, G.I. and Grojnowski, I.: 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
[MM] Misra, K.C. and Miwa, T.: Crystal base for the basic representation of Uq(šl(n)). Commun. Math. Phys. 134 (1990) 79-88.
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[N] Nakashima, T.: Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras. Commun. Math. Phys. 154 (1993) 215-243.
Article | MR 1224078 | Zbl 0795.17016 |
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