Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Algebraic structures related to set theoretic solutions of the quantum Yang-Baxter equation

2013/09/B/ST1/04408

Keywords:

associative algebra group semigroup quantum Yang-Baxter equation finite presentation quadratic relations brace IYB-group structure group

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: 1

Call: OPUS 5 - announced on 2013-03-15

Amount awarded: 114 200 PLN

Project start date (Y-m-d): 2014-02-20

Project end date (Y-m-d): 2017-02-19

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. komputer (5 000 PLN)
  2. komputer przenośny (laptop).

Information in the final report

  • Publication in academic press/journals (11)
  • Book publications / chapters in book publications (1)
  1. A family of irretractable square-free solutions of the Yang-Baxter equation
    Authors:
    D.Bachiller, F.Cedo, E.Jespers, J.Okniński
    Academic press:
    Forum Mathematicum (rok: 2017, tom: 29, strony: 1291-1306), Wydawca: de Gruyter
    Status:
    Published
    DOI:
    10.1515/forum-2015-0240 - link to the publication
  2. Krull orders in nilpotent groups
    Authors:
    Eric Jespers, Jan Okniński
    Academic press:
    Archiv der Mathematik (rok: 2014, tom: 103, strony: 27-37), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00013-014-0669-6 - link to the publication
  3. Prime ideals in algebras determined by submonoids of nilpotent groups
    Authors:
    E. Jespers, J. Okniński
    Academic press:
    Algebras and Representation Theory (rok: 2016, tom: 19, strony: 17-31), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10468-015-9559-2 - link to the publication
  4. Finitely generated algebras defined by homogeneous quadratic monomial relations and their underlying monoids
    Authors:
    E.Jespers, J.Okniński, M. Van Campenhout
    Academic press:
    Journal of Algebra (rok: 2015, tom: 440, strony: 72-99), Wydawca: Elsevier
    Status:
    Published
    DOI:
    brak - link to the publication
  5. Irreducible representations of the Chinese monoid
    Authors:
    Ł.Kubat, J.Okniński
    Academic press:
    Journal of Algebra (rok: 2016, tom: 466, strony: 12055), Wydawca: Elsevier
    Status:
    Published
    DOI:
    brak - link to the publication
  6. Krull orders in nilpotent groups: corrigendum and addendum
    Authors:
    E.Jespers, J.Okniński
    Academic press:
    Archiv der Mathematik (rok: 2016, tom: 106, strony: 295-299), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00013-015-0860-4 - link to the publication
  7. On a class of automaton algebras
    Authors:
    Ferran Cedo, Jan Okniński
    Academic press:
    Proceedings of the Edinburgh Mathematical Society (rok: 2017, tom: 60, strony: 31-38), Wydawca: Edinburgh Mathematical Society
    Status:
    Published
    DOI:
    10.1017/S0013091516000134 - link to the publication
  8. Invariants of finite dimensional algebras recognized by the semigroup of conjugacy classes of left ideals
    Authors:
    A.Męcel, J.Okniński
    Academic press:
    Journal of Algebra and its Applications (rok: 2017, tom: 16, strony: 1750182), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219498817501821 - link to the publication
  9. Irreducible representations of the plactic algebra of rank four
    Authors:
    F.Cedo, Ł.Kubat, J.Okniński
    Academic press:
    Journal of Algebra (rok: 2017, tom: 488, strony: 403-441), Wydawca: Elsevier
    Status:
    Published
    DOI:
    brak - link to the publication
  10. Nilpotent groups of class three and braces
    Authors:
    Ferran Cedo, Eric Jespers, Jan Okniński
    Academic press:
    Publicacions Matematiques (rok: 2016, tom: 60, strony: 55-79), Wydawca: Universitat Autonoma de Barcelona
    Status:
    Published
    DOI:
    10.5565/PUBLMAT - link to the publication
  11. Algebras with finitely many conjugacy classes of left ideals versus algebras of finite representation type
    Authors:
    A.Męcel, J.Okniński
    Academic press:
    Journal of Pure and Applied Algebra , Wydawca: Elsevier
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  1. Noetherian semigroup algebras and beyond
    Authors:
    J. Okniński
    Book:
    Multiplicative Ideal Theory and Factorization Theory (rok: 2016, tom: brak, strony: 255-276), Wydawca: Springer
    Status:
    Published

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