Projects per year
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.
| Original language | English |
|---|---|
| Article number | 2350179 |
| Number of pages | 26 |
| Journal | Journal of algebra and its applications |
| Volume | 22 |
| Issue number | 8 |
| Early online date | 31 May 2022 |
| DOIs | |
| Publication status | Published - 31 Aug 2023 |
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Dive into the research topics of 'From Braces to Hecke algebras and Quantum Groups'. Together they form a unique fingerprint.Projects
- 2 Finished
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Quantum integrability from set theoretic Yang-Baxter & reflection equations
Smoktunowicz, A. (Principal Investigator)
1/10/21 → 30/09/24
Project: Research
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Enhancing Representation Theory, Noncommutative Algebra And Geometry Through Moduli, Stability And Deformations
Gordon, I. (Principal Investigator), Bayer, A. (Co-investigator) & Smoktunowicz, A. (Co-investigator)
1/05/18 → 30/04/24
Project: Research