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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Selected topics in the theory of locally compact quantum groups

2015/17/B/ST1/00085

Keywords:

Locally compact quantum group seimdirect product center induced representation Hopf image

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 :

Uniwersytet Warszawski, Wydział Fizyki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Piotr Sołtan 

Number of co-investigators in the project: 4

Call: OPUS 9 - announced on 2015-03-16

Amount awarded: 246 700 PLN

Project start date (Y-m-d): 2016-02-18

Project end date (Y-m-d): 2019-02-17

Project duration:: 36 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. Czytnik książek elektronicznych (600 PLN)
  2. Drukarka laserowa (700 PLN)
  3. Komputer przenośny (3 szt.) (15 000 PLN)

Information in the final report

  • Publication in academic press/journals (21)
  • Articles in post-conference publications (1)
  • Book publications / chapters in book publications (1)
  1. INDUCTION FOR LOCALLY COMPACT QUANTUM GROUPS REVISITED
    Authors:
    M. Kalantar, P.Kasprzak, A. Skalski, P.M. Sołtan
    Academic press:
    Proceedings of the Royal Society of Edinburgh Section A-Mathematics (rok: 2020, tom: 150, strony: 1071-1093), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/prm.2018.94 - link to the publication
  2. QUANTUM BERNSTEIN'S THEOREM AND THE HYPEROCTAHEDRAL QUANTUM GROUP
    Authors:
    P. Józiak, K. Szpojankowski
    Academic press:
    Journal of Mathematical Physics (rok: 2018, tom: 59, strony: 063511-1--063511-11), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/1.5007934 - link to the publication
  3. THE CANONICAL CENTRAL EXACT SEQUENCE FOR LOCALLY COMPACT QUANTUM GROUP
    Authors:
    P.Kasprzak, A. Skalski, P.M. Sołtan
    Academic press:
    Mathematische Nachrichten (rok: 2017, tom: 290, strony: 1303–1316), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mana.201600208 - link to the publication
  4. THE LATTICE OF IDEMPOTENT STATES ON A LOCALLY COMPACT QUANTUM GROUP
    Authors:
    P. Kasprzak, P.M. Sołtan
    Academic press:
    Publications of the Research Institute for the Mathematical Sciences (rok: 2020, tom: 56, strony: 33-53), Wydawca: RIMS Kyoto
    Status:
    Published
    DOI:
    10.4171/PRIMS/56-1-3 - link to the publication
  5. INTEGRALS IN COIDEAL SUBALGEBRAS AND GROUP LIKE-PROJECTIONS
    Authors:
    A. Chirvasitu, P. Kasprzak, P. Szulim
    Academic press:
    A;gebras and representation theory , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s10468-019-09889-1 - link to the publication
  6. MONOIDAL CATEGORY OF C*-ALGEBRAS
    Authors:
    S.L. Woronowicz
    Academic press:
    Reports on Mathematical Physics , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  7. HOPF IMAGES IN LOCALLY COMPACT QUANTUM GROUPS
    Authors:
    P. Józiak, P. Kasprzak, P.M. Sołtan
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2017, tom: 455, strony: 141–166), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.05.047 - link to the publication
  8. LANDSTAD-VAES THEORY FOR LOCALLY COMPACT QUANTUM GROUPS
    Authors:
    S. Roy, S. L. Woronowicz
    Academic press:
    International Journal of Mathematics (rok: 2018, tom: 29, strony: 1850028-1--1850028-36), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0129167X18500283 - link to the publication
  9. SHIFTS OF GROUP-LIKE PROJECTIONS AND CONTRACTIVE IDEMPOTENT FUNCTIONALS FOR LOCALLY COMPACT QUANTUM GROUPS
    Authors:
    P. Kasprzak
    Academic press:
    International Journal of Mathematics (rok: 2018, tom: 29, strony: 1850092-1--1850092-19), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0129167X18500921 - link to the publication
  10. QUANTUM SEMIGROUPS FROM SYNCHRONOUS GAMES
    Authors:
    P.M. Sołtan
    Academic press:
    Journal of Mathematical Physics (rok: 2019, tom: 60, strony: 042203-1 - 042203-8), Wydawca: AIP Publishing
    Status:
    Accepted for publication
    DOI:
    10.1063/1.5085118 - link to the publication
  11. CENTER OF THE ALGEBRA OF FUNCTIONS ON THE QUANTUM GROUP SUq(2) AND RELATED TOPICS
    Authors:
    J. Krajczok, P.M. Sołtan
    Academic press:
    Commentationes Mathematicae (rok: 2016, tom: 56, strony: 251-272), Wydawca: PTM
    Status:
    Published
    DOI:
    10.14708/cm.v56i2.1557 - link to the publication
  12. COIDEALS, QUANTUM SUBGROUPS AND IDEMPOTENT STATES
    Authors:
    P. Kasprzak, F. Khosravi
    Academic press:
    Quarterly Journal of Mathematics (rok: 2017, tom: 68, strony: 583-615), Wydawca: OUP
    Status:
    Published
    DOI:
    10.1093/qmath/haw051 - link to the publication
  13. COMPACT QUANTUM GROUPS WITH REPRESENTATIONS OF BOUNDED DEGREE
    Authors:
    J. Krajczok, P.M. Sołtan
    Academic press:
    Journal of Operator Theory (rok: 2018, tom: 80, strony: 415-428), Wydawca: Theta Foundation
    Status:
    Published
    DOI:
    10.7900/jot.2017oct23.2181 - link to the publication
  14. FUNDAMENTAL ISOMORPHISM THEOREMS FOR QUANTUM GROUPS
    Authors:
    A. Chirvasitu, S. Omar Hoche, P. Kasprzak
    Academic press:
    Expositiones Mathematicae (rok: 2017, tom: 35, strony: 390-442), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.exmath.2017.05.001 - link to the publication
  15. GROUP-LIKE PROJECTIONS FOR LOCALLY COMPACT QUANTUM GROUPS
    Authors:
    R. Faal, P. Kasprzak
    Academic press:
    Journal of Operator Theory (rok: 2018, tom: 80, strony: 153–166), Wydawca: Theta Foundation
    Status:
    Published
    DOI:
    10.7900/jot.2017jul12.2166 - link to the publication
  16. QUANTUM GROUPS WITH PROJECTION AND EXTENSIONS OF LOCALLY COMPACT QUANTUM GROUPS
    Authors:
    P. Kasprzak, P.M. Sołtan
    Academic press:
    Journal of Noncommutative Geometry , Wydawca: EMS
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  17. BRAIDED QUANTUM SU(2) GROUPS
    Authors:
    P. Kasprzak, R.r Meyer, S. Roy, S.L. Woronowicz
    Academic press:
    J. Noncommut. Geom. (rok: 2016, tom: 10, strony: 1611–1625), Wydawca: EMS
    Status:
    Published
    DOI:
    10.4171/JNCG/268 - link to the publication
  18. SEMIDIRECT PRODUCTS OF C*-QUANTUM GROUPS: MULTIPLICATIVE UNITARIES APPROACH
    Authors:
    R. Meyer, S. Roy, S.L. Woronowicz
    Academic press:
    Communications in Mathematical Physics (rok: 2017, tom: 351, strony: 249-282), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-016-2727-3 - link to the publication
  19. INTEGRABLE ACTIONS AND QUANTUM SUBGROUPS
    Authors:
    P. Kasprzak, F. Khosravi, P.M. Sołtan
    Academic press:
    International Mathematics Research Notices (rok: 2017, tom: 2018, strony: 3224-3254), Wydawca: OUP
    Status:
    Published
    DOI:
    10.1093/imrn/rnw317 - link to the publication
  20. QUANTUM ACTIONS ON DISCRETE QUANTUM SPACES AND A GENERALIZATION OF CLIFFORD'S THEORY OF REPRESENTATIONS
    Authors:
    K. De Commer, P. Kasprzak, A. Skalski, P.M. Sołtan
    Academic press:
    Israel Journal of Mathematics (rok: 2018, tom: 226, strony: 475–503), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-018-1709-x - link to the publication
  21. REMARKS ON HOPF IMAGES AND QUANTUM PERMUTATION GROUPS S_n^+
    Authors:
    P. Józiak
    Academic press:
    Canadian Mathematical Bulletin (rok: 2018, tom: 61, strony: 301-317), Wydawca: Canadian Mathematical Society
    Status:
    Published
    DOI:
    10.4153/CMB-2017-028-2 - link to the publication
  1. NORMAL IDEMPOTENT STATES ON A LOCALLY COMPACT QUANTUM GROUP
    Authors:
    P.M. Sołtan
    Conference:
    Interactions between Operator Space Theory and Quantum Probability with Applications to Quantum Information (rok: 2018, ), Wydawca: Mathematisches Forschungsinstitut Oberwolfach
    Data:
    konferencja 6-12.05.2018
    Status:
    Published
  1. INTRODUCTION TO COMPACT AND DSCRETE QUANTUM GROUPS
    Authors:
    U. Franz, A. Skalski, P.M. Sołtan
    Book:
    Topological Quantum Groups (rok: 2017, tom: 111, strony: 11567), Wydawca: Banach Center Publications
    Status:
    Published

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