References
- Angiono, I., Galindo, C., Vendramin, L. (2017). Hopf braces and Yang-Baxter operators. Accepted for publication In Proc. Am. Math. Soc. 145(5):1981–1995.
- Baxter, R. J. (1972). Partition function of the eight-vertex lattice model. Ann. Phys. 70:193–228.
- Cedó, F., Jespers, E., Okniński, J. (2014). Braces and the Yang-Baxter equation. Commun. Math. Phys. 327(1):101–116.
- Dehornoy, P. (2015). Set-theoretic solutions of the Yang–Baxter equation, RC-calculus, and Garside germs. Adv. Math. 282:93–127.
- Drinfel’d, V. G. (1992). On some unsolved problems in quantum group theory. In: Quantum Groups (Leningrad, 1990). Volume 1510 of Lecture Notes in Mathematics. Berlin: Springer, pp. 1–8.
- Dăscălescu, S., Nichita, F. (1999). Yang-Baxter operators arising from (co)algebra structures. Commun. Algebra 27(12):5833–5845.
- Etingof, P., Schedler, T., Soloviev, A. (1999). Set-theoretical solutions to the quantum Yang-Baxter equation. Duke Math. J. 100(2):169–209.
- Gateva-Ivanova, T. Set-theoretic solutions of the Yang-Baxter equation, Braces, and Symmetric groups. ArXiv:1507.02602.
- Gateva-Ivanova, T., Van den Bergh, M. (1998). Semigroups of I-type. J. Algebra 206(1):97–112.
- Guarnieri, L., Vendramin, L. (2015). Skew braces and the Yang-Baxter equation. Accepted for publication In Math. Comput. ArXiv:1511.03171.
- Lebed, V. (2013). Categorical aspects of virtuality and self-distributivity. J. Knot Theory Ramif., 22(9):1350045, 32.
- Lebed, V., Vendramin, L. (2017). Homology of left non-degenerate set-theoretic solutions to the Yang–Baxter equation. Homology of left non-degenerate set-theoretic solutions to the Yang–Baxter equation. 304:1219–1261.
- Lu, J.-H., Yan, M., Zhu, Y.-C. (2000). On the set-theoretical Yang-Baxter equation. Duke Math. J. 104(1):1–18.
- Nichita, F. F., Popovici, B. P. (2011). Yang-Baxter operators from (G, 𝜃)-Lie algebras. Rom. Rep. Phys. 63:641–650.
- Przytycki, J. H. (2011). Distributivity versus associativity in the homology theory of algebraic structures. Demonstratio Math. 44(4):823–869.
- Rump, W. (2007). Braces, radical rings, and the quantum Yang-Baxter equation. J. Algebra 307(1):153–170.
- Rump, W. (2014). The brace of a classical group. Note Mat. 34(1):115–144.
- Soloviev, A. (2000). Non-unitary set-theoretical solutions to the quantum Yang-Baxter equation. Math. Res. Lett. 7(5–6):577–596.
- Takeuchi, M. (2003). Survey on matched pairs of groups—an elementary approach to the ESS-LYZ theory. In: Noncommutative Geometry and Quantum Groups (Warsaw, 2001), volume 61 of Banach Center Publications. Warsaw: Polish Academy of Sciences, pp. 305–331.
- Yang, C. N. (1967). Some exact results for the many-body problem in one dimension with repulsive delta-function interaction. Phys. Rev. Lett. 19:1312–1315.