Canonical bases arising from quantized enveloping algebras

Beĭlinson, A. A., 1982, Faisceaux pervers, 5

Berenstein, A. D., 1988, Tensor product multiplicities and convex polytopes in partition space, J. Geom. Phys., 5, 453, 10.1016/0393-0440(88)90033-2

Bernšteĭn, I. N., 1973, Coxeter functors, and Gabriel’s theorem, Uspehi Mat. Nauk, 28, 19

Bourbaki, N., 1968, \'{E}l\'{e}ments de math\'{e}matique. Fasc. XXXIV. Groupes et alg\`ebres de Lie. Chapitre IV: Groupes de Coxeter et syst\`emes de Tits. Chapitre V: Groupes engendr\'{e}s par des r\'{e}flexions. Chapitre VI: syst\`emes de racines

De Concini, Corrado, 1981, Special bases for 𝑆_{𝑁} and 𝐺𝐿(𝑛), Israel J. Math., 40, 275, 10.1007/BF02761368

M. Dyer and G. Lusztig, Appendix to [𝐿2], Geom. Dedicata (to appear).

Gabriel, Peter, 1972, Unzerlegbare Darstellungen. I, Manuscripta Math., 6, 71, 10.1007/BF01298413

Kazhdan, David, 1979, Representations of Coxeter groups and Hecke algebras, Invent. Math., 53, 165, 10.1007/BF01390031

Kazhdan, David, 1980, Schubert varieties and Poincaré duality, 185

Lusztig, George, 1990, Finite-dimensional Hopf algebras arising from quantized universal enveloping algebra, J. Amer. Math. Soc., 3, 257, 10.2307/1990988

Lusztig, George, 1990, Quantum groups at roots of 1, Geom. Dedicata, 35, 89, 10.1007/BF00147341

Lusztig, G., 1983, Left cells in Weyl groups, 99, 10.1007/BFb0071433

Lusztig, G., 1981, Green polynomials and singularities of unipotent classes, Adv. in Math., 42, 169, 10.1016/0001-8708(81)90038-4

Ringel, Claus Michael, 1990, Hall algebras and quantum groups, Invent. Math., 101, 583, 10.1007/BF01231516

Zelevinskiĭ, A. V., 1985, Two remarks on graded nilpotent classes, Uspekhi Mat. Nauk, 40, 199