Zobrazeno 1 - 10 of 13 pro vyhledávání: '"Bogdan Balcerzak"'
1
Akademický článek
A Generalization of Secondary Characteristic Classes on Lie Pseudoalgebras
Autor: Bogdan Balcerzak
Publikováno v: Symmetry, Vol 16, Iss 1, p 24 (2023)
The aim of the paper is to construct a secondary characteristic homomorphism for Lie pseudoalgebras. The case of inner product modules is under consideration.
Externí odkaz: https://doaj.org/article/b624debfea8847ffa8d6bf33bbca8b6d
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2
Akademický článek
On Symmetric Brackets Induced by Linear Connections
Autor: Bogdan Balcerzak
Publikováno v: Symmetry, Vol 13, Iss 6, p 1003 (2021)
In this note, we discuss symmetric brackets on skew-symmetric algebroids associated with metric or symplectic structures. Given a pseudo-Riemannian metric structure, we describe the symmetric brackets induced by connections with totally skew-symmetri
Externí odkaz: https://doaj.org/article/8d4a846d98264eccac28505a4fbde90a
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3
On the Dirac Type Operators on Symmetric Tensors
Autor: Bogdan Balcerzak
Publikováno v: Trends in Mathematics ISBN: 9783030011550
In the paper we define the Dirac type operators on anchored vector bundles given by a skew-symmetric 2-tensor. The Weyl module structure is defined in the case of the symmetric bundle. The decomposition of the symmetric Dirac operator into the sum of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::47a8be2029e61408352580f778c15e20
https://doi.org/10.1007/978-3-030-01156-7_23
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4
The Koszul homomorphism for a pair of Lie algebras in the theory of exotic characteristic classes of Lie algebroids
Autor: Jan Kubarski, Bogdan Balcerzak
Publikováno v: Topology and its Applications. 160:1384-1394
We examine fundamental properties of the universal exotic characteristic homomorphism in the category of Lie algebroids, introduced by the authors in Balcerzak and Kubarski (2012) [4] . The properties under study include: (a) functorial properties wi
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::42296880230ff63ad3b0f3a3b35a803c
https://doi.org/10.1016/j.topol.2013.05.008
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5
On a structure of the Lie algebroid of a vector bundle
Autor: Bogdan Balcerzak
Publikováno v: Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations. 67
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cc857e4e019056566a6de5e5c513b757
https://doi.org/10.26485/0459-6854/2017/67.2/4
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7
Chern–Simons forms for ℝ-linear connections on Lie algebroids
Autor: Bogdan Balcerzak
Publikováno v: International Journal of Mathematics. 29:1850094
This paper considers the Chern–Simons forms for [Formula: see text]-linear connections on Lie algebroids. A generalized Chern–Simons formula for such [Formula: see text]-linear connections is obtained. We apply it to define the Chern character an
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::865e3752ad5eeae468c1d5a235dcbd3f
https://doi.org/10.1142/s0129167x18500945
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