Abstract
Quantum groups have shown to be an exceptionally promising and rich structure whereby one can expect a growing wealth of new results in statistical mechanics and quantum field theory1. Stemmed out of the algebraic structure dictated by integra-bility conditions (quantum Yang-Baxter (q-Y.-B.) equations) for a class of integrable systems, quantum groups can be intuitively thought of as the deformation of the universal enveloping algebra of some given Lie algebra L of dynamical variables induced by replacing the Jacobi identities with the q-Y.-B. equations, yet preserving the associativity properties of L. As usual, quantum groups is synonimous of Hopf algebra.
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Celeghini, E., Rasetti, M., Vitiello, G. (1993). Q-Hermitian Conjugation, Quantum Groups and Squeezing. In: Christiansen, P.L., Eilbeck, J.C., Parmentier, R.D. (eds) Future Directions of Nonlinear Dynamics in Physical and Biological Systems. NATO ASI Series, vol 312. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1609-9_31
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