Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Algebraic methods in the study of the quantum Yang-Baxter equation - braces and associative algebras

2016/23/B/ST1/01045

Keywords:

associative algebra brace group semigroup Yang-Baxter equation

Descriptors:

  • ST1_2: Algebra

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

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Jan Okniński 

Number of co-investigators in the project: 3

Call: OPUS 12 - announced on 2016-09-15

Amount awarded: 249 600 PLN

Project start date (Y-m-d): 2017-07-18

Project end date (Y-m-d): 2021-07-17

Project duration:: 48 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.

Equipment purchased [PL]

  1. tablet Samsung S7 (3 299 PLN)

Information in the final report

  • Publication in academic press/journals (11)
  1. Combinatorics and structure of Hecke-Kiselman algebras
    Authors:
    Magdalena Wiertel, Jan Okniński
    Academic press:
    Communications in Contemporary Mathematics (rok: 2020, tom: 22, strony: 2050022), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219199720500224 - link to the publication
  2. Asymmetric product of left braces and simplicity; new solutions of the Yang-Baxter equation
    Authors:
    D.Bachiller, F. Cedo, E. Jespers, J. Okniński
    Academic press:
    Communications in Contemporary Mathematics (rok: 2019, tom: 21, strony: 1850042 (30 stron)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219199718500426 - link to the publication
  3. Set-theoretic solutions of the Yang-Baxter equation, associated quadratic algebras and the minimality condition
    Authors:
    Ferran Cedo, EricJespers, Jan Okniński
    Academic press:
    Revista Matematica Complutense (rok: 2020, tom: 36, strony: 1309-1332), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13163-019-00347-6 - link to the publication
  4. Irreducible representations of Hecke-Kiselman monoids
    Authors:
    Magdalena Wiertel
    Academic press:
    Linear Algebra and its Applications , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. Constructing finite simple solutions of the Yang-Baxter equation
    Authors:
    Ferran Cedo, Jan Okniński
    Academic press:
    Advances in Mathematicxs (rok: 2021, tom: 391, strony: 107968 (40 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2021.107968 - link to the publication
  6. Growth alternative for Hecke-Kiselman monoids
    Authors:
    A.Męcel, J.Okniński
    Academic press:
    Publicacions Matematiques (rok: 2019, tom: 63, strony: 219-240), Wydawca: Universitat Autonoma de Barcelona
    Status:
    Published
    DOI:
    10.5565/PUBLMAT6311907 - link to the publication
  7. Every finite abelian group is a subgroup of the additive group of a finite simple left brace
    Authors:
    F.Cedo, E. JEspers, J. Okniński
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2021, tom: 225, strony: 106476), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2020.106476 - link to the publication
  8. Grobner basis and the automaton property of Hecke-Kiselman algebras
    Authors:
    A.Męcel, J.Okniński
    Academic press:
    Semigroup Forum (rok: 2019, tom: 99, strony: 447-464), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00233-019-10029-w - link to the publication
  9. On the radical of a Hecke-Kiselman algebra
    Authors:
    J. Okniński, M. Wiertel
    Academic press:
    Algebras and Representation Theory (rok: 2020, tom: online, strony: 10), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10468-020-09997-3 - link to the publication
  10. Primitive set-theoretic solutions of the Yang-Baxter equation
    Authors:
    F. Cedo, E. Jespers, J. Okniński
    Academic press:
    Mathematische Annalen , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  11. An abundance of simple left braces with abelian multiplicative Sylow subgroups
    Authors:
    Ferran Cedo, Eric Jespers, Jan Okniński
    Academic press:
    Revista Matematica Iberoamericana (rok: 2020, tom: 36, strony: 1309-1332), Wydawca: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/rmi/1168 - link to the publication

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