# Article

 Title: Tangent lifts of higher order of multiplicative Dirac structures (English) Author: Wamba, P. M. Kouotchop Author: Ntyam, A. Language: English Journal: Archivum Mathematicum ISSN: 0044-8753 (print) ISSN: 1212-5059 (online) Volume: 49 Issue: 2 Year: 2013 Pages: 87-104 Summary lang: English . Category: math . Summary: 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. (English) Keyword: Lie groupoids Keyword: Lie bialgebroids Keyword: multiplicative Dirac structures Keyword: tangent functor of higher order Keyword: natural transformations MSC: 53C15 MSC: 53C75 MSC: 53D05 MSC: 53D17 MSC: 58H05 idZBL: Zbl 06321151 idMR: MR3118866 DOI: 10.5817/AM2013-2-87 . Date available: 2013-10-14T13:40:17Z Last updated: 2014-07-30 Stable URL: http://hdl.handle.net/10338.dmlcz/143497 . Reference: [1] Cantrijn, F., Crampin, M., Sarlet, W., Saunders, D.: The canonical isomorphism between $T^{k}T^{\ast }$ and $T^{\ast }T^{k}$.C.R. Acad. Sci. Paris 309 (1989), 1509–1514. MR 1033091 Reference: [2] Courant, J.: Dirac manifols.Trans. Amer. Math. Soc. 319 (2) (1990), 631–661. 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