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References
H. H. Andersen, P. Polo and Wen K., Representations of quantum algebras, Inv. Math. (1991).
A. A. Beilinson, R. MacPherson and G. Lusztig, A geometric setting for the quantum deformation of GL, Duke Math. J. 61 (1990).
C. Chevalley, Certains schémas de groupes semisimples,Séminaire Bourbaki (1961/62).
V. G. Drinfeld, Hopf algebras and the Yang-Baxter equation, Soviet Math. Dokl. 32 (1985), 254–258.
M. Dyer and G. Lusztig, Appendix, Geom. Dedicata (1990).
M. Jimbo, A q-difference analogue of U(g) and the Yang-Baxter equation, Lett. Math. Phys. 10 (1985), 63–69.
B. Kostant, Groups over Z Proc. Symp. Pure Math. 9 (1966), 90–98, Amer. Math. Soc.
G. Lusztig, Quantum deformations of certain simple modules over enveloping algebras, Adv. in Math. 70 (1988), 237–249.
G. Lusztig, Modular representations and quantum groups, Contemp. Math. 82 (1989), 59–77, Amer. Math. Soc..
G. Lusztig, On quantum groups, J. Algebra 131 (1990), 466–475.
G. Lusztig, Finite dimensional Hopf algebras arising from quantized universal envelop- ing algebras, Jour. Amer. Math. Soc. 3 (1990), 257–296.
G. Lusztig, Quantum groups at roots of 1, Geom. Dedicata (1990).
G. Lusztig, Canonical bases arising from quantized enveloping algebras, J. Amer. Math. Soc. 3 (1990), 447–498;
G. Lusztig, Common trends in mathematics and quantum filed theoreis, ed, J. Eguchi et al., Progress of Theor. Physics 102, 175–201.
C. M. Ringel, Hall algebras and quantum groups, Inv. Math.
M. Rosso, Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra, Comm. Math. Phys. 117 (1988), 581–593.
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© 1992 Birkhäuser Boston
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Lusztig, G. (1992). Introduction to Quantized Enveloping Algebras. In: Tirao, J., Wallach, N.R. (eds) New Developments in Lie Theory and Their Applications. Progress in Mathematics, vol 105. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2978-0_3
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