Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Severin Pošta"'
Publikováno v:
Acta Polytechnica, Vol 64, Iss 4 (2024)
This paper reproduces the result of Elliot, namely that the irreducible finite dimensional representation of the Lie algebra su(3) of highest weight (m, n) is decomposed according to the embedding so(3) ⊂ su(3). First, a realisation (a representati
Externí odkaz:
https://doaj.org/article/b6ec10b9f37a417a8b0baee637b5466c
Autor:
Agata Bezubik, Severin Pošta
Publikováno v:
Acta Polytechnica, Vol 56, Iss 3, Pp 156-165 (2016)
The common trigonometric functions admit generalizations to any higher dimension, the symmetric, antisymmetric and alternating ones. In this paper, we restrict ourselves to three dimensional generalization only, focusing on alternating case in detail
Externí odkaz:
https://doaj.org/article/19b939b901d24c86872e68e511331774
Autor:
Daniel Gromada, Severin Pošta
Publikováno v:
Acta Polytechnica, Vol 54, Iss 6, Pp 394-397 (2014)
Suitable automorphisms together with complete classification of representations of some algebras can be used to generate some sets of orthogonal polynomials “at no cost”. This is also the case of nonstandard Klimyk-Gavrilik deformation Uq'(so3) w
Externí odkaz:
https://doaj.org/article/e58be570fbd641d1ab4f72a62b96a53e
Autor:
Severin Pošta, Miloslav Havlíček
Publikováno v:
Acta Polytechnica, Vol 53, Iss 5 (2013)
We discuss the construction of the Verma basis of the enveloping algebra and of finite dimensional representations of the Lie algebra An. We give an alternate proof of so-called Verma inequalities to the one given in [1] by P. Littelmann.
Externí odkaz:
https://doaj.org/article/abb242d293b441dba1ddef56e7fe7e92
Autor:
Maryna Nesterenko, Severin Pošta
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9789811577741
The direct application of the parameterized linear transformations (contraction matrices) to the Lie vector fields that realize a Lie algebra leads to improper (zero operators) realizations. This can be avoided by the contraction of the equivalent re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a564fe013b17b1f646138f9164dc4fcb
https://doi.org/10.1007/978-981-15-7775-8_35
https://doi.org/10.1007/978-981-15-7775-8_35
Publikováno v:
Mathematica Slovaca. 67:427-446
The common exponential functions whose exponents are the scalar products 〈λ,x〉, where x is a real variable and λ is an integer, admit two generalizations to any higher dimension, the symmetric and the antisymmetric ones [KLIMYK, A.—PATERA, J.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c92e32e27170b62a85ff5b163ba54597
https://doi.org/10.1515/ms-2016-0280
https://doi.org/10.1515/ms-2016-0280
Autor:
Severin Pošta, Maryna Nesterenko
Publikováno v:
Physics of Particles and Nuclei. 49:949-951
Deformations of the smallest Galilei algebra are constructed and deformed algebras are realized by Lie vector fields. For these realization bases of differential invariants and operators of invariant differentiation are constructed in the case of two
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::420d382144922beb57809a6890729894
https://doi.org/10.1134/s1063779618050301
https://doi.org/10.1134/s1063779618050301
Publikováno v:
Journal of Nonlinear Mathematical Physics. 16:63
Starting from any representation of the Lie algebra 𝔤 on the finite dimensional vector space V we can construct the representation on the space Aut(V). These representations are of the type of ad. That is one of the reasons, why it is important to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d9db4f8b5098f41ad36c33c696e1f50
https://doi.org/10.1142/s1402925109000066
https://doi.org/10.1142/s1402925109000066
Autor:
Severin Pošta, Bohumil Ošmera, M. Marik, V. V. Lichadeev, Sergey Zaritskiy, Antonín Kolros, D. Riazanov, Zdenek Matej, Vojtěch Rypar, František Cvachovec
Publikováno v:
IEEE Transactions on Nuclear Science. 62:1212-1217
The complex measurement system for the full-scale VVER models (mock-ups), created in the research reactor LR-0, is discussed. Fast neutron (energy from 0.5 to 10 MeV) and gamma spectra are measured in several representative points of the mock-ups by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bdca67e0bd4a04ac1404ad37d4cdb564
https://doi.org/10.1109/tns.2015.2429747
https://doi.org/10.1109/tns.2015.2429747
Publikováno v:
Physics of Particles and Nuclei Letters. 11:990-995
We carry out group analysis of a class of generalized fifth-order Korteweg-de Vries equations with time dependent coefficients. Admissible transformations, Lie symmetries and similarity reductions of equations from the class are classified exhaustive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::674ee05aecfb5e5f878e179635d2be00
https://doi.org/10.1134/s1547477114070280
https://doi.org/10.1134/s1547477114070280