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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_9: Operator algebras and functional analysis

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.

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): 2024-11-30

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

Project status: Project completed

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 (7)
  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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

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