Publikacje / Wydział Matematyki

A. Dobrogowska, M. Szajewska
Eigenvalue problem versus Casimir functions for Lie algebras
Anal. Math. Phys. 14 (2024), 1-24, (article number 33).
DOI: 10.1007/s13324-024-00892-4
M. Szajewska
Geometrical structures of nested polyhedra
Quantum Theory and Symmetries, 12th International Symposium on Quantum Theory and Symmetries, J. Phys.: Conf. Ser. vol. 2667, (publ. by) IOP Publishing, 2023, pp. 1-7, (submitted).
DOI: 10.1088/1742-6596/2667/1/012045
A. Dobrogowska, G. Jakimowicz, M. Szajewska
On Some Structures of Lie Algebroids on the Cotangent Bundles
Geometric Methods in Physics XXXIX, Workshop, Białystok, Poland, 2022, (P. Kielanowski, A. Dobrogowska, G. A. Goldin, T. Goliński Ed(s).), Trends in Mathematics , (publ. by) Birkhauser Verlag, 2023, pp. 169-176.
DOI: 10.1007/978-3-031-30284-8_16
M. Myronova, J. Patera, M. Szajewska
Nested polyhedra and indices of orbits of Coxeter groups of non-crystallographic type
Symmetry 12 (2020), no. 10, 1-18.
DOI: 10.3390/sym12101737
M. Bodner, Z. Grabowiecka, J. Patera, M. Szajewska
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
A. Dobrogowska, G. Jakimowicz, M. Szajewska, K. Wojciechowicz
Deformation of the Poisson Structure Related to Algebroid Bracket of Differential Forms and Application to Real Low Dimensional Lie Algebras
Geometry, Integrability and Quantization, 20th International Conference, Jun 2-7, 2018, Varna, Bulgary, (I. M. Mladenov, V. Pulov, A. Yoshiaka Ed(s).), Geom. Integrability & Quantization vol. 20, (publ. by) Bulgarian Academy of Sciences, 2019, pp. 122-130.
DOI: 10.7546/giq-20-2019-122-130
J. Hrivnak, J. Patera, M. Szajewska
Discrete orthogonality of bivariate polynomials of A2, C2 and G2
Symmetry 11 (2019), no. 6, 1-26.
DOI: 10.3390/sym11060751
M. Myronova, M. Szajewska
The orthogonal systems of functions on lattices of SU(n + 1), n < ∞
Geometric Methods in Physics XXXVII, Workshop and Summer School, Białowieża, 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
M. Bodner, J. Patera, M. Szajewska
Decomposition matrices for the special case of data on the triangular lattice of G(2)
Appl. Comput. Harmon. Anal. 45 (2018), no. 1, 233-238.
DOI: 10.1016/j.acha.2017.02.003
Z. Grabowiecka, J. Patera, M. Szajewska
Reduction of orbits of finite Coxeter groups of non-crystallographic type
J. Math. Phys. 59 (2018), no. 10, 1-18.
DOI: 10.1063/1.5032210
M. Szajewska, A. Tereszkiewicz
Multidimensional hybrid boundary value problem
Acta Polytechn. 58 (2018), no. 6, 402-413.
DOI: 10.14311/AP.2018.58.0402
M. Bodner, J. Patera, M. Szajewska
Decomposition matrices for the special case of data on the triangular lattice of SU(3)
Appl. Comput. Harmon. Anal. 43 (2017), no. 2, 346-353.
DOI: 10.1016/j.acha.2016.07.001
G. Chadzitaskos, J. Patera, M. Szajewska
Polytopes vibrations within Coxeter group symmetries
The European Physical Journal B 89 (2016), no. 5, 1-7.
DOI: 10.1140/epjb/e2016-60891-2
M. Szajewska
Faces of root polytopes in all dimensions
Acta Cryst. A 72 (2016), no. 4, 465-471.
DOI: 10.1107/S2053273316004551
M. Szajewska
Polytope contractions within Weyl group symmetries
Math. Phys. Anal. Geom. 19 (2016), no. 3, 1-14.
DOI: 10.1007/s11040-016-9220-2
M. Szajewska, A. Tereszkiewicz
Two-dimensional hybrids with mixed boundary value problems
Acta Polytechn. 56 (2016), no. 3, 245-253.
DOI: 10.14311/AP.2016.56.0245
M. Bodner, E. Bourret, J. Patera, M. Szajewska
Icosahedral symmetry breaking: C60 to C84, C108 and to related nanotubes
Acta Cryst. A 71 (2015), 297-300.
DOI: 10.1107/S2053273315003824
F. W. Lemire, J. Patera, M. Szajewska
Dominant weight multiplicities in hybrid characters of B_n, C_n, F_4, G_2
Internat. J. Theoret. Phys. 54 (2015), no. 11, 4011-4026.
DOI: 10.1007/s10773-014-2444-7
M. Bodner, E. Bourret, J. Patera, M. Szajewska
Icosahedral symmetry breaking: C60 to C78, C96 and to related nanotubes
Acta Cryst. A 70 (2014), no. 6, 650-655.
DOI: 10.1107/S2053273314017215
M. Bodner, J. Patera, M. Szajewska
Breaking of icosahedral symmetry: C60 to C70
PLoS ONE 9(3) (2014), e84079, 1-5.
DOI: 10.1371/journal.pone.0084079
M. Bodner, J. Patera, M. Szajewska
Polytope contractions within icosahedral symmetry
Canad. J. Phys. 92 (2014), no. 11, 1446-1452.
DOI: 10.1139/cjp-2014-0035
M. Szajewska
Faces of platonic solids in all dimensions
Acta Cryst. A 70 (2014), no. 4, 358-363.
DOI: 10.1107/S205327331400638X
M. Bodner, J. Patera, M. Szajewska
C70, C80, C90, and carbon nanotubes by breaking of the icosahedral symmetry of C60
Acta Cryst. A 69 (2013), no. 6, 583-591.
DOI: 10.1107/S0108767313021375
M. Szajewska
Four types of special functions of G_2 and their discretization
Integral Transforms Spec. Funct. 23 (2012), no. 6, 455-472.
DOI: 10.1080/10652469.2011.598265
M. Szajewska
Gaussian curvature of the Bergman metric with weighted Bergman kernel on the unit disc
Demonstratio Math. 45 (2012), no. 3, 637-644.
DOI: 10.1515/dema-2013-0389
M. Nesterenko, J. Patera, M. Szajewska, 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
M. Szajewska
Svoystvo krivizn i krucenya regularnogo semejstva krivizn w En
Mat. Zametki 83 (2008), no. 5, 757-762.
- Tłumaczenie/przedruk
  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
Y. Aminov, M. Szajewska
Krucenye Gaussa 2-mernoj poverchnosti, zadannoj w nejavnom vidye, v 4-mernom Evklidovom prostranstvie
Mat. Sb. 195 (2004), no. 11, 3-12.
- Tłumaczenie/przedruk
  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