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Information on the principal investigator and host institution

Information of the project and the call

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Deformation and non-deformation quantization: from Poisson brackets to universal symmetries.

2012/06/M/ST1/00169

Keywords:

Poisson geometry deformation quantization universal quantum groups C*-algebras

Descriptors:

  • ST1_5: Geometry
  • ST1_9: Operator algebras and functional analysis
  • 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 :

Instytut Matematyczny PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Piotr Hajac 

Number of co-investigators in the project: 19

Call: HARMONIA 3 - announced on 2012-06-15

Amount awarded: 624 000 PLN

Project start date (Y-m-d): 2013-04-11

Project end date (Y-m-d): 2016-04-10

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

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (29)
  • Articles in post-conference publications (2)
  • Book publications / chapters in book publications (1)
  1. A duality principle for noncommutative cubes and spheres
    Authors:
    Teodor Banica
    Academic press:
    Journal of Noncommutative Geometry (rok: 2016, tom: 10, strony: 1043 - 1081), Wydawca: European Mathematical Society Publishing House
    Status:
    Published
    DOI:
    10.4171/JNCG/254 - link to the publication
  2. Quantum flag manifolds as quotients of degenerate quantized universal enveloping algebras
    Authors:
    Kenny De Commer, Sergey Neshveyev
    Academic press:
    Transformation Groups (rok: 2015, tom: 20, strony: 725 - 742), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00031-015-9324-y - link to the publication
  3. Quantum isometries of noncommutative polygonal spheres
    Authors:
    Teodor Banica
    Academic press:
    Münster Journal of Mathematics (rok: 2015, tom: 8, strony: 253 - 284), Wydawca: Mathematical Institutes of the Universität Münster
    Status:
    Published
    DOI:
    10.17879/65219670628 - link to the publication
  4. The spatial Rokhlin property for actions of compact quantum groups
    Authors:
    Selçuk Barlak, Gábor Szabó, Christian Voigt
    Academic press:
    Journal of Functional Analysis (rok: 2017, tom: 272, strony: 2308 - 2360), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2016.09.023 - link to the publication
  5. A field of quantum upper triangular matrices
    Authors:
    K. De Commer, M. Floré
    Academic press:
    International Mathematics Research Notices (rok: 2017, tom: 2017, strony: 5047 - 5077), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnw162 - link to the publication
  6. Cyclic homology arising from adjunctions
    Authors:
    Niels Kowalzig, Ulrich Kraehmer, Paul Slevin
    Academic press:
    Theory and Applications of Categories (rok: 2015, tom: 30, strony: 1067 - 1095), Wydawca: R. Rosebrugh
    Status:
    Published
    DOI:
    brak - link to the publication
  7. Factorisations of distributive laws
    Authors:
    Ulrich Kraehmer, Paul Slevin
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2016, tom: 220, strony: 1403 - 1418), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2015.09.008 - link to the publication
  8. On the Hopf (co)center of a Hopf algebra
    Authors:
    Alexandru Chirvasitu, Paweł Kasprzak
    Academic press:
    Journal of Algebra (rok: 2016, tom: 464, strony: 141 - 174), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2016.07.002 - link to the publication
  9. Quantum families of quantum group homomorphisms
    Authors:
    Mariusz Budziński, Paweł Kasprzak
    Academic press:
    Communications in Algebra (rok: 2017, tom: 45, strony: 1627 - 1638), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/00927872.2016.1222403 - link to the publication
  10. Sigma-model solitons on noncommutative spaces
    Authors:
    Ludwik Dabrowski, Giovanni Landi, Franz Luef
    Academic press:
    Letters in Mathematical Physics (rok: 2015, tom: 105, strony: 1663 - 1688), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11005-015-0790-x - link to the publication
  11. Smooth geometry of the noncommutative pillow, cones and lens spaces
    Authors:
    Tomasz Brzeziński, Andrzej Sitarz
    Academic press:
    Journal of Noncommutative Geometry (rok: 2017, tom: 11, strony: 413 - 449), Wydawca: European Mathematical Society Publishing House
    Status:
    Published
    DOI:
    10.4171/JNCG/11-2-1 - link to the publication
  12. The quantum algebra of partial Hadamard matrices
    Authors:
    Teodor Banica, Adam Skalski
    Academic press:
    Linear Algebra and its Applications (rok: 2015, tom: 469, strony: 364 - 380), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2014.11.033 - link to the publication
  13. Towards a noncommutative Brouwer fixed-point theorem
    Authors:
    Ludwik Dabrowski
    Academic press:
    Journal of Geometry and Physics (rok: 2016, tom: 105, strony: 60 - 65), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2016.03.015 - link to the publication
  14. Twisted reality condition for Dirac operators
    Authors:
    Tomasz Brzeziński, Nicola Ciccoli, Ludwik Dąbrowski, Andrzej Sitarz
    Academic press:
    Mathematical Physics, Analysis and Geometry (rok: 2016, tom: 19, strony: 16-1 - 16-11), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11040-016-9219-8 - link to the publication
  15. Pullbacks and nontriviality of associated noncommutative vector bundles
    Authors:
    Piotr M. Hajac, Tomasz Maszczyk
    Academic press:
    Journal of Noncommutative Geometry (), Wydawca: European Mathematical Society Publishing House
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  16. C*-algebraic partial compact quantum groups
    Authors:
    Kenny De Commer
    Academic press:
    Journal of Functional Analysis (rok: 2016, tom: 270, strony: 3962 - 3995), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2016.03.004 - link to the publication
  17. Half-liberated manifolds, and their quantum isometries
    Authors:
    Teodor Banica
    Academic press:
    Glasgow Mathematical Journal (rok: 2017, tom: 59, strony: 463 - 492), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0017089516000288 - link to the publication
  18. Liberation theory for noncommutative homogeneous spaces
    Authors:
    Teodor Banica
    Academic press:
    Annales de la Faculte des Sciences de Toulouse. Mathematiques. Serie 6 (rok: 2017, tom: 26, strony: 127 - 156), Wydawca: Univeriste Paul Sabatier Institute de Mathematiques
    Status:
    Published
    DOI:
    10.5802/afst.1527 - link to the publication
  19. Liberations and twists of real and complex spheres
    Authors:
    Teodor Banica
    Academic press:
    Journal of Geometry and Physics (rok: 2015, tom: 96, strony: 45316), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2015.05.006 - link to the publication
  20. Piecewise Principal Coactions of Co-Commutative Hopf Algebras
    Authors:
    Bartosz Zieliński
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (rok: 2014, tom: 10, strony: 20), Wydawca: Refereed electronic journal ISSN 1815-0659
    Status:
    Published
    DOI:
    10.3842/SIGMA.2014.088 - link to the publication
  21. The Moyal Sphere
    Authors:
    Michał Eckstein, Andrzej Sitarz, Raimar Wulkenhaar
    Academic press:
    Journal of Mathematical Physics (rok: 2016, tom: 57, strony: 112301-1 - 112301-11), Wydawca: American Institute of Physics
    Status:
    Published
    DOI:
    10.1063/1.4965446 - link to the publication
  22. On the structure of quantum automorphism groups
    Authors:
    Christian Voigt
    Academic press:
    Journal für die reine und angewandte Mathematik (rok: 2017, tom: 732, strony: 255 - 273), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/crelle-2014-0141 - link to the publication
  23. Racks, Leibniz algebras and Yetter-Drinfel'd modules
    Authors:
    Ulrich Kraehmer, Friedrich Wagemann
    Academic press:
    Georgian Mathematical Journal (rok: 2015, tom: 22, strony: 529 - 542), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/gmj-2015-0049 - link to the publication
  24. Equivariant Fredholm modules for the quantum flag variety of SUq(3)
    Authors:
    Christian Voigt, Robert Yuncken
    Academic press:
    Documenta Mathematica (rok: 2015, tom: 20, strony: 433 - 490), Wydawca: Deutsche Mathematiker-Vereinigung
    Status:
    Published
    DOI:
    brak - link to the publication
  25. Noncommutative bundles over the multi-pullback quantum complex projective plane
    Authors:
    Piotr M. Hajac, Jan Rudnik
    Academic press:
    New York Journal of Mathematics (rok: 2017, tom: 23, strony: 295 - 313), Wydawca: Electronic Journals Project
    Status:
    Published
    DOI:
    brak - link to the publication
  26. One-to-one correspondence between generating functionals and cocycles on quantum groups in presence of symmetry
    Authors:
    Biswarup Das, Uwe Franz, Anna Kula, Adam Skalski
    Academic press:
    Mathematische Zeitschrift (rok: 2015, tom: 281, strony: 949 - 965), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00209-015-1515-7 - link to the publication
  27. Random walk questions for linear quantum groups
    Authors:
    Teodor Banica, Julien Bichon
    Academic press:
    International Mathematics Research Notices (rok: 2015, tom: 2015, strony: 13406 - 13436), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnv102 - link to the publication
  28. The algebraic structure of quantum partial isometries
    Authors:
    Teodor Banica
    Academic press:
    Infinite Dimensional Analysis, Quantum Probability and Related Topics (rok: 2016, tom: 19, strony: 36), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S021902571650003X - link to the publication
  29. The K-theory of twisted multipullback quantum odd spheres and complex projective spaces
    Authors:
    Piotr M. Hajac, Ryszard Nest, David Pask, Aidan Sims, Bartosz Zielinski
    Academic press:
    Journal of Noncommutative Geometry (rok: 2018, tom: 12, strony: 41), Wydawca: European Mathematical Society Publishing House
    Status:
    Accepted for publication
    DOI:
    10.4171/JNCG/12-y-z - link to the publication
  1. Twisted reality condition for spectral triple on two points
    Authors:
    Ludwik Dabrowski, Andrzej Sitarz
    Conference:
    School and Workshops on Elementary Particle Physics and Gravity (rok: 2015, ), Wydawca: SISSA
    Data:
    konferencja 01-27.09.2015
    Status:
    Published
    DOI:
    link to the publication
  2. Poisson-Lie groupoids and the contraction procedure
    Authors:
    Kenny De Commer
    Conference:
    From Poisson Brackets to Universal Quantum Symmetries (rok: 2015, ), Wydawca: Banach Center Publications, Instytut Matematyczny PAN
    Data:
    konferencja 18-22.08.2014
    Status:
    Published
  1. Lévy Processes on Quantum Permutation Groups
    Authors:
    Uwe Franz, Anna Kula, Adam Skalski
    Book:
    Part of the Operator Theory: Advances and Applications book series (rok: 2016, tom: 252, strony: 193 - 259), Wydawca: Birkhauser/Springer
    Status:
    Published
    DOI:
    link to the publication

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