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arXiv · 1912.03091

From Braces to Hecke algebras & Quantum Groups

Anastasia Doikou·Agata Smoktunowicz
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Abstract

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.

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Anastasia Doikou, Agata Smoktunowicz. 2019-12-06. From Braces to Hecke algebras & Quantum Groups. https://doi.org/10.1142/s0219498823501797

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