Abstract
Around 1985, V. G. Drinfel’d and M. Jimbo introduced the quantized universal enveloping algebras, or quantum groups, U q (g) associated to any symmetrizable Kac-Moody algebra g. Usually, the deformation parameter q is taken to be a non-zero complex number, and one thinks of U q (g) as a family of Hopf algebras over ℂ ‘depending’ on q. If q = 1, one recovers the classical universal enveloping algebra of g. But one can also work ‘universally’, by regarding q as an indeterminate and U q (g) as a Hopf algebra over the field ℂ(q) of rational functions of q (or some larger field).
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© 1997 Springer Science+Business Media New York
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Chari, V., Pressley, A. (1997). Quantum Affine Algebras and Integrable Quantum Systems. In: ’t Hooft, G., Jaffe, A., Mack, G., Mitter, P.K., Stora, R. (eds) Quantum Fields and Quantum Space Time. NATO ASI Series, vol 364. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1801-7_10
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DOI: https://doi.org/10.1007/978-1-4899-1801-7_10
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