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Canonical bases arising from quantized enveloping algebras
Journal of the American Mathematical Society, Tome 03 (1990) no. 2, pp. 447-498 Cet article a éte moissonné depuis la source American Mathematical Society

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     author = {Lusztig, G.},
     title = {Canonical bases arising from quantized enveloping algebras},
     journal = {Journal of the American Mathematical Society},
     pages = {447--498},
     year = {1990},
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     doi = {10.1090/S0894-0347-1990-1035415-6},
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Lusztig, G. Canonical bases arising from quantized enveloping algebras. Journal of the American Mathematical Society, Tome 03 (1990) no. 2, pp. 447-498. doi: 10.1090/S0894-0347-1990-1035415-6

[1] Beĭlinson, A. A., Bernstein, J., Deligne, P. Faisceaux pervers 1982 5 171

[2] Berenstein, A. D., Zelevinsky, A. V. Tensor product multiplicities and convex polytopes in partition space J. Geom. Phys. 1988 453 472

[3] Bernšteĭn, I. N., Gel′Fand, I. M., Ponomarev, V. A. Coxeter functors, and Gabriel’s theorem Uspehi Mat. Nauk 1973 19 33

[4] Bourbaki, N. Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines 1968

[5] De Concini, Corrado, Kazhdan, David Special bases for 𝑆_{𝑁} and 𝐺𝐿(𝑛) Israel J. Math. 1981

[6] Gabriel, Peter Unzerlegbare Darstellungen. I Manuscripta Math. 1972

[7] Kazhdan, David, Lusztig, George Representations of Coxeter groups and Hecke algebras Invent. Math. 1979 165 184

[8] Kazhdan, David, Lusztig, George Schubert varieties and Poincaré duality 1980 185 203

[9] Lusztig, George Finite-dimensional Hopf algebras arising from quantized universal enveloping algebra J. Amer. Math. Soc. 1990 257 296

[10] Lusztig, George Quantum groups at roots of 1 Geom. Dedicata 1990 89 113

[11] Lusztig, G. Left cells in Weyl groups 1983 99 111

[12] Lusztig, G. Green polynomials and singularities of unipotent classes Adv. in Math. 1981 169 178

[13] Ringel, Claus Michael Hall algebras and quantum groups Invent. Math. 1990 583 591

[14] Zelevinskiĭ, A. V. Two remarks on graded nilpotent classes Uspekhi Mat. Nauk 1985 199 200

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