From Braces to Hecke algebras & Quantum Groups

Anastasia Doikou, Agata Smoktunowicz

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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.
Original languageEnglish
Number of pages26
JournalJournal of algebra and its applications
Publication statusAccepted/In press - 20 Apr 2022


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