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Paper detail

From Braces to Hecke algebras & Quantum Groups

We examine links between the theory of braces and set theoretical solutions of the Yang-Baxter equation, and fundamental concepts from the theory of quantum integrable systems. More precisely, we make connections with Hecke algebras and we identify new quantum groups associated to set-theoretic solutions coming from braces. We also construct a novel class of quantum discrete integrable systems and we derive symmetries for the corresponding periodic transfer matrices.

preprint2022arXivOpen access
Anastasia DoikouAgata Smoktunowicz
math.GRmath-phmath.QAmath.MPmath.RA
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Anastasia DoikouAgata Smoktunowicz

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