Projects funded by the NCN
Solutions of the quantum Yang-Baxter equation and associated algebraic structures: (semi)groups, associative algebras and skew braces
2020/39/D/ST1/01852
Keywords:
Yang-Baxter equation set-theoretic solution structure group structure monoid structure algebra quadratic relations finite presentation brace skew brace
Descriptors:
- ST1_002:
Panel:
ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics
Host institution :
Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki
woj. mazowieckie
Principal investigator (from the host institution):
Number of co-investigators in the project: 2
Call: SONATA 16 - announced on 2020-09-15
Amount awarded: 309 400 PLN
Project start date (Y-m-d): 2021-10-04
Project end date (Y-m-d): 2024-10-03
Project duration:: 36 months (the same as in the proposal)
Project status: Project settled
Project description
Download the project description in a pdf file
Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.
Information in the final report
- Publication in academic press/journals (2)
- Finite idempotent set-theoretic solutions of the Yang–Baxter equationAuthors:Ilaria Colazzo, Eric Jespers, Łukasz Kubat, Arne Van Antwerpen, Charlotte VerwimpAcademic press:International Mathematics Research Notices (rok: 2024, tom: 2024(7), strony: 5458–5489), Wydawca: Oxford AcademicStatus:PublishedDOI:10.1093/imrn/rnad183 - link to the publication
- On various types of nilpotency of the structure monoid and group of a set-theoretic solution of the Yang–Baxter equationAuthors:Ferran Cedó, Eric Jespers, Łukasz Kubat, Arne Van Antwerpen, Charlotte VerwimpAcademic press:Journal of Pure and Applied Algebra (rok: 2023, tom: 227(2), strony: 107194), Wydawca: ElsevierStatus:PublishedDOI:10.1016/j.jpaa.2022.107194 - link to the publication