A quantum group is in the first place a remarkably nice object called a Hopf algebra, the axioms for which are so elegant that they were written down in the 1940s well before truly representative examples emerged from physics in the 1980s.
Related Journals of Quantum group
Journal of Biometrics & Biostatistics, Journal of Applied & Computational Mathematics, Journal of Physical Mathematics, Journal Statistics and Mathematical Sciences,Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms,Transactions of the American Mathematical Society, Proceedings of the London Mathematical Society, Commentarii Mathematici Helvetici, SIAM Journal on Imaging Sciences, ACM Transactions on Algorithms, Random Structures and Algorithms,