Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Grzegorz Jakimowicz"'
Publikováno v:
Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Vladimir Pulov and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2019)
The main goal of this paper is to present the possibility of application of some well known tools of Poisson geometry to classification of real low dimensional Lie algebras.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80b6808afc842a9ddf9a3874e0f1159a
https://doi.org/10.7546/giq-20-2019-122-130
https://doi.org/10.7546/giq-20-2019-122-130
Publikováno v:
Journal of Geometry and Physics. 123:385-423
In the framework of Banach differential geometry we investigate the fiber-wise linear Poisson structures as well as the Lie groupoid and Lie algebroid structures which are defined in the canonical way by the structure of a W ∗ -algebra (von Neumann
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3307621d55721ec9f184cdef08ecea8
https://doi.org/10.1016/j.geomphys.2017.09.012
https://doi.org/10.1016/j.geomphys.2017.09.012
Autor:
Alina Dobrogowska, Grzegorz Jakimowicz
Publikováno v:
Journal of Geometry and Physics. 165:104227
We present some new constructions of Lie algebroids starting from vector fields on manifold M . The tangent bundle T M possess a natural structure of Lie algebroid, but we use these fields to construct a collection of interesting new algebroid struct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::875cbc66a9fc8610b85f50e1f6ada00e
https://doi.org/10.1016/j.geomphys.2021.104227
https://doi.org/10.1016/j.geomphys.2021.104227
Autor:
Grzegorz Jakimowicz, Alina Dobrogowska
Publikováno v:
Applied Mathematics Letters. 74:161-166
The main purpose of this work is to apply the factorization method to difference equations. The factorization method offers the possibility of finding solutions of new classes of difference equations. We show how to integrate certain classes of secon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c61c5087af6ba4bf9a9f2a1cff57d7a8
https://doi.org/10.1016/j.aml.2017.05.022
https://doi.org/10.1016/j.aml.2017.05.022
Publikováno v:
J. Geom. Symmetry Phys. 52 (2019), 47-66
In the case when $M$ is equipped with a bi-Hamiltonian structure $(M,\pi_1, \pi_2)$ we show how to construct family of Poisson structures on the tangent bundle $TM$ to a Poisson manifold. Moreover we present how to find Casimir functions for those st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::155354b66f78b0e3093ad96124b3be2c
https://projecteuclid.org/euclid.jgsp/1564106597
https://projecteuclid.org/euclid.jgsp/1564106597
Publikováno v:
Trends in Mathematics ISBN: 9783030340711
We use the algebroid bracket of differential forms to generate the Poisson structure πC on the tangent bundle TM. Next, we present how to construct deformations of this structure starting from the initial Poisson structure π on a manifold M.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8c06a078def1389cb0f8d7c86aebe5b0
https://doi.org/10.1007/978-3-030-34072-8_2
https://doi.org/10.1007/978-3-030-34072-8_2
Publikováno v:
Journal of Geometry and Physics. 95:108-126
In the paper we study the algebroid A(M) of the groupoid G(M)⇉L(M) of partially invertible elements over the lattice L(M) of orthogonal projections of a W∗-algebra M. In particular the complex Banach manifold structure of these objects is investi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78db5a4825d5ec293d482fe7eed5303f
https://doi.org/10.1016/j.geomphys.2015.05.003
https://doi.org/10.1016/j.geomphys.2015.05.003
We investigate G-invariant symplectic structures on the cotangent bundle T*P of a principal G-bundle P(M,G) which are canonically related to automorphisms of the tangent bundle TP covering the identity map of P and commuting with the action of TG on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c8b89018276199217d04f827bb5b834
Autor:
Alina Dobrogowska, Grzegorz Jakimowicz
Publikováno v:
AIP Conference Proceedings.
We investigate a version of factorization method on a sequence of Hilbert spaces ℋk related to q– and (q, h)–ladder. We present second order q– and (q, h)–difference operators Hk which can be factorized using first order operators Ak, A*k.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1720f2f8da02c9e12a6af82886dcbe1
https://doi.org/10.1063/1.4992312
https://doi.org/10.1063/1.4992312
Autor:
Alina Dobrogowska, Grzegorz Jakimowicz
Publikováno v:
Applied Mathematics and Computation. 228:147-152
We present certain classes of second order q-difference operators, which admit factorization into first order operators acting in a fixed Hilbert space. We also discuss classical limit case by letting q → 1 .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::966407aa500204e96174198453f8ef46
https://doi.org/10.1016/j.amc.2013.11.102
https://doi.org/10.1016/j.amc.2013.11.102