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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Levy processes and compact quantum groups- examples, properties, classifications

2016/21/D/ST1/03010

Keywords:

compact quantum groups Levy processes easy quantum groups Levy-Khinchine decomposition

Descriptors:

  • ST1_9: Operator algebras and functional analysis
  • ST1_13: Probability and statistics

Panel:

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

Host institution :

Uniwersytet Wrocławski, Wydział Matematyki i Informatyki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Anna Wysoczańska-Kula 

Number of co-investigators in the project: 1

Call: SONATA 11 - announced on 2016-03-15

Amount awarded: 166 280 PLN

Project start date (Y-m-d): 2017-02-07

Project end date (Y-m-d): 2022-02-06

Project duration:: 60 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. drukarka dwustronna (600 PLN)
  2. laptop z systemem operacyjnym (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (4)
  1. Lévy-Khintchine decompositions for generating functionals on algebras associated to universal compact quantum groups
    Authors:
    Biswarup Das, Uwe Franz, Anna Kula, Adam Skalski
    Academic press:
    Infinite Dimensional Analysis, Quantum Probability and Related Topics (rok: 2018, tom: 21 (3), strony: 1850017), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219025718500170 - link to the publication
  2. Second cohomology groups of the Hopf∗-algebras associated to universal unitary quantum groups
    Authors:
    Biswarup Das, Uwe Franz, Anna Kula, Adam Skalski
    Academic press:
    Annales de l'Institut Fourier , Wydawca: Annales de l'Institut Fourier
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  3. Joint monotone and boolean numerical and spectral radii of d-tuples of operators
    Authors:
    Anna Kula, Janusz Wysoczański
    Academic press:
    Advances in Operator Theory (rok: 2020, tom: 5, strony: 1039-1060), Wydawca: Birkhäuser
    Status:
    Published
    DOI:
    10.1007/s43036-020-00074-6 - link to the publication
  4. Hunt's Formula for SUq(N) and Uq(N)
    Authors:
    Uwe Franz, Anna Kula, J. Martin Lindsay, Michael Skeide
    Academic press:
    Indiana University Mathematics Journal , Wydawca: Indiana University
    Status:
    Submitted
    DOI:
    arxiv.org/abs/2009.06323 - link to the publication

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