doc. Ing. Severin Pošta Ph.D.

so(3) ⊂ su(3) revisited

Year of publication

2024

Publication

Acta Polytechnica. 2024, 64(4), 336-340. ISSN 1805-2363.

Authors

Burdík, Č. Pošta, S. Rapp, E.

Link

https://doi.org/10.14311/AP.2024.64.0336

Differential Invariants and Realizations of the Deformed Smallest Galilei Algebra

Year of publication

2018

Publication

Physics of Particles and Nuclei. 2018, 49(5), 949-951. ISSN 1063-7796.

Authors

Nesterenko, M. Pošta, S.

Link

https://doi.org/10.1134/S1063779618050301

Construction of representations of Poincaré group using Lie fields

Year of publication

2018

Publication

Journal of Mathematical Physics. 2018, 59(2), ISSN 0022-2488.

Authors

Havlíček, M. Kotrbatý, J. Moylan, P. Pošta, S.

Link

https://doi.org/10.1063/1.4993153

Equivalence groupoid of a class of variable coefficient Korteweg-de Vries equations

Year of publication

2017

Publication

Journal of Mathematical Physics. 2017, 58(10), 101504-1-101504-12. ISSN 0022-2488.

Authors

Vaneeva, O Pošta, S.

Link

https://doi.org/10.1063/1.5004973

Three-variable symmetric and antisymmetric exponential functions and orthogonal polynomials

Year of publication

2017

Publication

Mathematica Slovaca. 2017, 67(2), 427-446. ISSN 0139-9918.

Authors

Bezubik, A. Hrivnák, J. Patera, J. Pošta, S.

Link

https://doi.org/10.1515/ms-2016-0280

Enhanced group classification of Benjamin-Bona-Mahony-Burgers equations

Year of publication

2017

Publication

Applied Mathematics Letters. 2017, 65 19-25. ISSN 0893-9659.

Authors

Vaneeva, O. Pošta, S. Sophocleous, C.

Link

https://doi.org/10.1016/j.aml.2016.09.015

Realizations of Galilei algebras

Year of publication

2016

Publication

Journal of Physics A: Mathematical and Theoretical. 2016, 49(11), 1-26. ISSN 1751-8113.

Authors

Nesterenko, M. Pošta, S. Vaneeva, O.

Link

https://doi.org/10.1088/1751-8113/49/11/115203

Three-variable alternating trigonometric functions and corresponding Fourier transforms

Year of publication

2016

Publication

Acta Polytechnica. 2016, 56(3), 156-165. ISSN 1210-2709.

Authors

Bezubik, A Pošta, S.

Link

https://doi.org/10.14311/ap.2016.56.0156

Group classification of variable coefficient generalized Kawahara equations

Year of publication

2014

Publication

Journal of Physics A: Mathematical and Theoretical. 2014, 47(4), ISSN 1751-8113.

Authors

Kurishka, O. Pošta, S. Vaneeva, O.

Link

https://doi.org/10.1088/1751-8113/47/4/045201

Automorphisms of algebras and orthogonal polynomials

Year of publication

2014

Publication

Acta Polytechnica. 2014, 54(6), 394-397. ISSN 1210-2709.

Authors

Gromada, D. Pošta, S.

Link

https://doi.org/10.14311/AP.2014.54.0394

Group Analysis of Variable Coefficient Generalized Fifth-Order KdV Equations

Year of publication

2014

Publication

Physics of Particles and Nuclei Letters. 2014, 11(7), 990-995. ISSN 1547-4771.

Authors

Kuriksha, O. Pošta, S. Vaneeva, O.

Link

https://doi.org/10.1134/S1547477114070280

Note on Verma Bases for Representations of Simple Lie Algebras

Year of publication

2013

Publication

Acta Polytechnica. 2013, 53(5), 450-456. ISSN 1210-2709.

Authors

Havlíček, M. Pošta, S.

Link

https://doi.org/10.14311/ap.2013.53.0450

Extremal Vectors for Verma Type Factor Representations of Uq(sl(3,C))

Year of publication

2012

Publication

Physics of Particles and Nuclei. 2012, 43(5), 700-702. ISSN 1063-7796.

Authors

Burdík, Č. Navrátil, O. Pošta, S.

Link

https://doi.org/10.1134/S1063779612050073

Three-variable exponential functions of the alternating group

Year of publication

2012

Publication

Journal of Physics A: Mathematical and Theoretical. 2012, 45(4), 1-10. ISSN 1751-8113.

Authors

Hrivnák, J. Patera, J. Pošta, S.

Link

https://doi.org/10.1088/1751-8113/45/4/045201

Central dependencies in quantum algebras

Year of publication

2012

Publication

Journal of Physics: Conference Series. 2012, 346 ISSN 1742-6588.

Authors

Bacovský, M. Havlíček, M. Pošta, S.

Link

https://doi.org/10.1088/1742-6596/346/1/012002

Center of quantum algebra Uq'(so 3)

Year of publication

2011

Publication

Journal of Mathematical Physics. 2011, 52(4), ISSN 0022-2488.

Authors

Pošta, S. Havlíček, M.

Link

https://doi.org/10.1063/1.3579992

The Diamond Lemma and the PBW Property in Quantum Algebras

Year of publication

2010

Publication

Acta Polytechnica. 2010, 50(5), 40-45. ISSN 1210-2709.

Authors

Pošta, S. Havlíček, M.

The adjoint representation of quantum algebra Uq(sl2)

Year of publication

2009

Publication

Journal of Nonlinear Mathematical Physics. 2009, 16(1), 63-75. ISSN 1402-9251.

Authors

Burdík, Č. Navrátil, O. Pošta, S.

Link

https://doi.org/10.1142/S1402925109000066

Ideals of the enveloping algebra U(osp(1,2))

Year of publication

2008

Publication

Journal of Generalized Lie Theory and Applications. 2008, 2(3), 132-136. ISSN 1736-5279.

Authors

Burdík, Č. Havlíček, M. Navrátil, O. Pošta, S.

Two-Dimensional Matrix Calogero Model of the BC2 Type

Year of publication

2007

Publication

Physics of Atomic Nuclei. 2007, 70(3), 491-495. ISSN 1063-7788.

Authors

Burdík, Č. Navrátil, O. Pošta, S.

Link

https://doi.org/10.1134/S1063778807030076

Structure of the Enveloping Algebras

Year of publication

2007

Publication

Acta Polytechnica. 2007, 47(2), 25-31. ISSN 1210-2709.

Authors

Burdík, Č. Navrátil, O. Pošta, S.

On the Matrix 3x3 Exactly Solvable Models of the Type G2

Year of publication

2006

Publication

Journal of Nonlinear Mathematical Physics. 2006, 4(13), 27-36. ISSN 1402-9251.

Authors

Burdík, Č. Navrátil, O. Pošta, S.

Link

https://doi.org/10.2991/jnmp.2006.13.s.4

On Three Particle Matrix Calogero Models

Year of publication

2006

Publication

Physics Letters A. 2006, 352(352), 362-370. ISSN 0375-9601.

Authors

Burdík, Č. Pošta, S. Navrátil, O.

Link

https://doi.org/10.1016/j.physleta.2005.12.032

On Matrix Solvable Calogero Models of B2 Type

Year of publication

2005

Publication

Journal of Geometry and Symmetry in Physics. 2005, 6(6), 11-15. ISSN 1312-5192.

Authors

Burdík, Č. Navrátil, O. Pošta, S.