Tangent lifts of higher order of multiplicative Dirac structures

P. M. Kouotchop Wamba; A. Ntyam

Archivum Mathematicum (2013)

  • Volume: 049, Issue: 2, page 87-104
  • ISSN: 0044-8753

Abstract

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The tangent lifts of higher order of Dirac structures and some properties have been defined in [9] and studied in [11]. By the same way, the tangent lifts of higher order of Poisson structures have been studied in [10] and some applications are given. In particular, the authors have studied the nature of the Lie algebroids and singular foliations induced by these lifting. In this paper, we study the tangent lifts of higher order of multiplicative Poisson structures, multiplicative Dirac structures and we describe the Lie bialgebroid structures and the algebroid-Dirac structures induced by these prolongations.

How to cite

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Wamba, P. M. Kouotchop, and Ntyam, A.. "Tangent lifts of higher order of multiplicative Dirac structures." Archivum Mathematicum 049.2 (2013): 87-104. <http://eudml.org/doc/260573>.

@article{Wamba2013,
abstract = {The tangent lifts of higher order of Dirac structures and some properties have been defined in [9] and studied in [11]. By the same way, the tangent lifts of higher order of Poisson structures have been studied in [10] and some applications are given. In particular, the authors have studied the nature of the Lie algebroids and singular foliations induced by these lifting. In this paper, we study the tangent lifts of higher order of multiplicative Poisson structures, multiplicative Dirac structures and we describe the Lie bialgebroid structures and the algebroid-Dirac structures induced by these prolongations.},
author = {Wamba, P. M. Kouotchop, Ntyam, A.},
journal = {Archivum Mathematicum},
keywords = {Lie groupoids; Lie bialgebroids; multiplicative Dirac structures; tangent functor of higher order; natural transformations; Lie groupoids; Lie bialgebroids; multiplicative Dirac structures; tangent functor of higher order; natural transformations},
language = {eng},
number = {2},
pages = {87-104},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Tangent lifts of higher order of multiplicative Dirac structures},
url = {http://eudml.org/doc/260573},
volume = {049},
year = {2013},
}

TY - JOUR
AU - Wamba, P. M. Kouotchop
AU - Ntyam, A.
TI - Tangent lifts of higher order of multiplicative Dirac structures
JO - Archivum Mathematicum
PY - 2013
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 049
IS - 2
SP - 87
EP - 104
AB - The tangent lifts of higher order of Dirac structures and some properties have been defined in [9] and studied in [11]. By the same way, the tangent lifts of higher order of Poisson structures have been studied in [10] and some applications are given. In particular, the authors have studied the nature of the Lie algebroids and singular foliations induced by these lifting. In this paper, we study the tangent lifts of higher order of multiplicative Poisson structures, multiplicative Dirac structures and we describe the Lie bialgebroid structures and the algebroid-Dirac structures induced by these prolongations.
LA - eng
KW - Lie groupoids; Lie bialgebroids; multiplicative Dirac structures; tangent functor of higher order; natural transformations; Lie groupoids; Lie bialgebroids; multiplicative Dirac structures; tangent functor of higher order; natural transformations
UR - http://eudml.org/doc/260573
ER -

References

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