University of Bia造stok
Institute of Mathematics
1M Cio趾owskiego St.
15-245 Bia造stok
Poland

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M. Szajewska

Marzena Szajewska, Ph.D.

Department of Mathematical Physics

Laboratory of Integrable Systems

(Previous: Department of Topology and Differential Geometry)

Publications:

  1. (with A. Dobrogowska)
    Construction of Low-Dimensional Lie Algebras versus Eigenproblem
    Experimental Mathematics Published online: 02 May 2025  (2025), 1-16.
    doi: 10.1080/10586458.2025.2492792.

  2. (with A. Dobrogowska)
    Eigenvalue problem versus Casimir functions for Lie algebras
    Analysis and Mathematical Physics 14:33  (2024), 1-24.
    doi: 10.1007/s13324-024-00892-4.

  3. Geometrical structures of nested polyhedra
    J. Phys.: Conf. Ser 2667  (2023), 1-7.
    doi: 10.1088/1742-6596/2667/1/012045.

  4. (with A. Dobrogowska, G. Jakimowicz)
    On Some Structures of Lie Algebroids on the Cotangent Bundle
    Geometric Methods in Physics XXXIX, Workshop and Summer School, Bia這wie瘸, Poland, 2022, (P. Kielanowski, A. Dobrogowska, G.A. Goldin Ed(s).), Trends in Mathematics , (publ. by) Birkhauser Verlag, 2023, pp. 169-176.
    doi: 10.1007/978-3-031-30284-8_16.

  5. (with M. Myronova, J. Patera)
    Nested polyhedra and indices of orbits of Coxeter groups of non-crystallographic type
    Symmetry 12  (2020), no. 10, 1-18.
    doi: 10.3390/sym12101737.

  6. (wit M. Bodner, Z. Grabowiecka, J. Patera)
    Decomposition matrices for the square lattices of the Lie groups SU(2)xSU(2)
    Anal. Math. Phys. 9  (2019), no. 4, 2099-2108.
    doi: 10.1007/s13324-019-00301-1.

  7. (with A. Dobrogowska, G. Jakimowicz, K. Wojciechowicz)
    Deformation of the Poisson Structure Related to Algebroid Bracket of Differential Forms and Application to Real Low Dimentional Lie Algebras
    Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization, (I.M. Mladenov, V. Pulov and A. Yoshioka, eds.), Geom. Integrability & Quantization vol. 20  (2019) 122-130.
    doi:10.7546/giq-giq-20-2019-122-130.

  8. (wiht J. Hrivnak, J. Patera)
    Discrete orthogonality of bivariate polynomials of A2, C2 and G2
    Symmetry11  (2019), no. 6, 1-26.
    doi: 10.3390/sym11060751.

  9. (with M. Myronova)
    The orthogonal systems of functions on lattices of SU(n + 1), n < ∞
    Geometric Methods in Physics XXXVII, Workshop and Summer School, Bia這wie瘸, Poland, 2018, (P. Kielanowski, A. Odzijewicz, E. Previato Ed(s).), Trends in Mathematics , (publ. by) Birkhauser Verlag, 2019, pp. 195-203.
    doi: 10.1007/978-3-030-34072-8_21.

  10. (with A. Tereszkiewicz)
    Multidimensional hybrid boundary value problem
    Acta Polytechnica. Journal of advanced engineering vol. 58 (8)  (2018), 402-413.
    doi.org/10.14311/AP.2018.58.0402.

  11. (with Z. Grabowiecka, J. Patera)
    Reduction of orbits of finite Coxeter groups of non-crystallographic type
    J. Math. Phys. 59  (2018), no. 101705, 1-18.
    doi: 10.1063/1.5032210.

  12. (with Z. Grabowiecka, J. Patera)
    Group theoretical methods to construct the graphene
    arXiv:1611.02206

  13. (with M. Bodner, J. Patera)
    Decomposition matrices for the special case of data on the triangular lattice of G(2)
    Applied and Computational Harmonic Analysis vol. 45 (1)  (2018), 233-238.
    doi:10.1016/j.acha.2017.02.003.

  14. (with M. Bodner, J. Patera)
    Decomposition matrices for the special case of data on the triangular lattice of SU(3)
    Applied and Computational Harmonic Analysis vol. 43 (2)  (2017), 346-353.
    doi:10.1016/j.acha.2016.07.001.

  15. Polytope contractions within Weyl group symmetries
    Mathematical Physics Analysis and Geometry vol. 19 (3)  (2016), 1-14.
    doi: 10.1007/s11040-016-9220-2.

  16. (with A. Tereszkiewicz)
    Two-dimensional hybrids with mixed boundary value problems
    Acta Polytechnica. Journal of advanced engineering vol. 56 (3)  (2016), 245-253.
    ISSN 1210-2709, e-ISSN 1805-2363.

  17. (with G. Chadzitaskos, J. Patera)
    Polytopes vibrations within Coxeter group symmetries
    The European Physical Journal B 89: 132  (2016), 1-7.
    doi:10.1140/epjb/e2016-60891-2.

  18. Faces of root polytopes in all dimensions
    Acta Cryst. A vol. 72 (4)   (2016), 465-471.
    doi:10.1107/S205327331400638X.

  19. (with M. Bodner, E. Bourret, J. Patera)
    Icosahedral symmetry breaking: C60 to C84, C108 and to related nanotubes
    Acta Cryst. A vol. 71 (3)   (2015), 297-300.
    doi:10.1107/S2053273315003824.

  20. (with F. W. Lemire, J. Patera)
    Dominant weight multiplicities in hybrid characters of Bn, Cn, F4, G2
    Internat. J. Theoret. Phys., vol. 54 (11)  (2015), 4011-4026.
    doi: 10.1007/s10773-014-2444-7.
    arXiv:1205.0904v1 [math-ph]

  21. (with M. Bodner, E. Bourret, J. Patera)
    Icosahedral symmetry breaking: C60 to C78, C96 and to related nanotubes
    Acta Cryst. A vol. 70 (6)   (2014), 650-655.
    doi: 10.1107/S2053273314017215.

  22. (with M. Bodner, J. Patera)
    Polytope contractions within icosahedral symmetry
    Canadian Journal of Physics, vol. 92 (11)   (2014), 1446-1452.
    doi: 10.1139/cjp-2014-0035.

  23. Faces of platonic solids in all dimensions
    Acta Cryst. A vol. 70 (4)   (2014), 358-363.
    doi:10.1107/S205327331400638X.
    arXiv:1204.1875v1 [math.MG]

  24. (with M. Bodner, J. Patera)
    Breaking of icosahedral symmetry: C60 to C70
    PLoS ONE 9 (3): e84079  (2014),
    doi:10.1371/journal.pone.0084079.

  25. (with M. Bodner, J. Patera)
    C70, C80, C90, and carbon nanotubes by breaking of the icosahedral symmetry of C60
    Acta Cryst. A vol. 69 (6)  (2013), 583-591.
    doi:10.1107/S0108767313021375.

  26. Gaussian curvature of the Bergman metric with weighted Bergman kernel on the unit disc
    Demonstratio Mathematica vol. 45 (3)  (2012), 637-644.

  27. Four types of special functions of G2 and their discretization
    Integral Transform. Spec. Funct. vol. 23 (6) (2012), 455-472.
    doi: 10.1080/10652469.2011.598265
    arXiv:1101.2502v2 [math-ph]

  28. (with M. Nesterenko, J. Patera, A. Tereszkiewicz)
    Orthogonal polynomials of compact simple Lie groups: Branching rules for polynomials
    J. Phys. A Math. Theor. 43 (2010), no. 495207, 1-27.
    doi: 10.1088/1751-8113/43/49/495207
    arXiv:1007.4431v2 [math.RT]

  29. Svoystvo krivizn i krucenya regularnogo semejstva krivizn w En
    Mat. Zametki 83 (2008), no. 5, 757–762.
      Translation:
    A Property of the Curvature and Torison of a Regular Family of Curves in En
    Math. Notes 83 (2008), no. 5-6, 688-692.
    doi:  10.1134/S000143460805012X

  30. Swojstwo kriwizny i kruczenija regularnogo siemiejstwa kriwych w En
    Theses of the raports to the 6-th International Conference on Geometry and Topology, Czerkasy 2005, Ukraina, Sept. (W. I. Diskant), Min. Osw. Ukraini, Tcherkas'kyi Derzh. Techn. Univ., Tcherkas'kyi Nac. Univ., Institut Matematiki NAN Ukr., Kcharkivskyi F-TINT (org.), (publ. by) TchDTU, Czerkasy, 2005, pp. 93, (abstract).

  31. (with Yu. A. Aminov)
    Krucenye Gaussa 2-mernoj poverchnosti, zadannoj w nejavnom vidye, v 4-mernom Evklidovom prostranstvie
    Mat. Sb. 195 (2004), no. 11, 3-12.
      Translation:
    Gaussian torsion of a 2-dimensional surface defined implicitly in 4-dimensional Euclidean space
    Sb. Math. 195 (2004), no. 11, 1545–1556.
    doi:  10.1070/SM2004v195n11ABEH000856

  32. (with Yu. A. Aminov)
    Gaussovo krucenie 2-mernoj poverchnosti v E4 zadannoj sistemoj uravnenij
    Theses of the raports to the 5-th International Conference on Geometry and Topology, Czerkasy 2003, Ukraina, Sept. (W. I. Diskant), Min. Osw. Ukraini, Tcherkas'kyi Derzh. Techn. Univ., Tcherkas'kyi Nac. Univ., Institut Matematiki NAN Ukr., Kcharkivskyi F-TINT (org.), (publ. by) TchDTU, Czerkasy, 2003, pp. 9, (abstract).

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