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Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Quantum groups, graphs and symmetries via representation theory

2020/39/I/ST1/01566

Keywords:

quantum groups representation theory operator algebras quantum graphs

Descriptors:

  • ST1_009:

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Adam Grzegorz Skalski 

Number of co-investigators in the project: 3

Call: OPUS 20 (LAP) - announced on 2020-09-15

Amount awarded: 610 800 PLN

Project start date (Y-m-d): 2021-12-01

Project end date (Y-m-d): 2025-06-30

Project duration:: 43 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 (14)
  1. Connectedness and Gaussian Parts for Compact Quantum Groups
    Authors:
    Uwe Franz, Amaury Freslon, Adam Skalski
    Academic press:
    Journal of Geometry and Physics (rok: 2023, tom: 184, strony: 104710), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2022.104710 - link to the publication
  2. Separation properties for positive-definite functions on locally compact quantum groups a
    Authors:
    Jacek Krajczok, Adam Skalski
    Academic press:
    Selecta Mathematica (rok: 2025, tom: 31, strony: 44), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s00029-025-01039-4 - link to the publication
  3. Coupling capacity in C*-algebras
    Authors:
    Adam Skalski, Ivan Todorov, Lyudmila Turowska
    Academic press:
    Proceedings of the Royal Society of Edinburgh. Section A: Mathematics (rok: 2025, tom: 155, strony: 81-103), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/prm.2023.81 - link to the publication
  4. Factorial multiparameter Hecke von Neumann algebras and representations of groups acting on right-angled buildings
    Authors:
    Sven Raum, Adam Skalski
    Academic press:
    Journal de Mathematiques Pures et Appliquees (rok: 2023, tom: 172, strony: 265-298), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.matpur.2023.02.005 - link to the publication
  5. Levi-Civita connections from toral actions
    Authors:
    Suvrajit Bhattacharjee, Soumalya Joardar, Sugato Mukhopadhyay
    Academic press:
    Journal of Geometry and Physics (rok: 2022, tom: 181, strony: 104650), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2022.104650 - link to the publication
  6. Quantum Permutation Matrices
    Authors:
    Moritz Weber
    Academic press:
    Complex Analysis and Operator Theory (rok: 2023, tom: 17, strony: 37), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11785-023-01335-x - link to the publication
  7. Tracial central states on compact quantum groups
    Authors:
    Amaury Freslon, Adam Skalski, Simeng Wang
    Academic press:
    Journal of Functional Analysis (rok: 2025, tom: 289, strony: 110988), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2025.110988 - link to the publication
  8. Hecke algebras and the Schlichting completion for discrete quantum groups
    Authors:
    Adam Skalski, Roland Vergnioux, Christian Voigt
    Academic press:
    Journal of the London Mathematical Society (rok: 2023, tom: 107, strony: 843-885), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/jlms.12701 - link to the publication
  9. Conjugate variables approach to mixed q-Araki-Woods algebras: Factoriality and non-injectivity
    Authors:
    Manish Kumar
    Academic press:
    Journal of Mathematical Physics (rok: 2023, tom: 64, strony: 93506), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0158660 - link to the publication
  10. Convolution semigroups on Rieffel deformations of locally compact quantum groups
    Authors:
    Adam Skalski, Ami Viselter
    Academic press:
    Letters in Mathematical Physics (rok: 2024, tom: 114, strony: 52), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s11005-024-01797-w - link to the publication
  11. Full solution of the factoriality question for q-Araki-Woods von Neumann algebras via conjugate variables
    Authors:
    Manish Kumar, Adam Skalski, Mateusz Wasilewski
    Academic press:
    Communications in Mathematical Physics (rok: 2023, tom: 402, strony: 157-167), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-023-04734-5 - link to the publication
  12. Some Examples of Bicrossed Products with the Rapid Decay Property
    Authors:
    Hua Wang
    Academic press:
    Algebras and Representation Theory (rok: 2025, tom: 28, strony: 101-123), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s10468-024-10308-3 - link to the publication
  13. A quantum Frucht's theorem and quantum automorphisms of quantum Cayley graphs
    Authors:
    Michael Brannan, Daniel Gromada, Junichiro Matsuda, Adam Skalski, Mateusz Wasilewski
    Status:
    Accepted for publication
  14. Asymptotic invariants for fusion algebras associated with compact quantum groups
    Authors:
    Jacek Krajczok, Adam Skalski
    Status:
    Accepted for publication

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