Abstract
The role of quantum groups and quantum Lie algebras [1] in physics has its origin in the theory of vertex models [2] and the quantum inverse scattering method [3]. Prom the mathematical point of view, two of the most important developments have been their understanding in terms of the theory of noncommutative Hopf algebras [4] and their relation to non-commutative geometry [5, 6, 7].
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References
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Ubriaco, M.R. (1997). Anyonic Behavior of Quantum Group Fermionic and Bosonic Systems. In: Kursunoglu, B.N., Mintz, S.L., Perlmutter, A. (eds) High-Energy Physics and Cosmology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5397-7_10
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