A
Alejandro Cabrera
Researcher at Federal University of Rio de Janeiro
Publications - 40
Citations - 408
Alejandro Cabrera is an academic researcher from Federal University of Rio de Janeiro. The author has contributed to research in topics: Symplectic geometry & Lie theory. The author has an hindex of 9, co-authored 40 publications receiving 355 citations. Previous affiliations of Alejandro Cabrera include National University of La Plata & Instituto Nacional de Matemática Pura e Aplicada.
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Vector bundles over Lie groupoids and algebroids
TL;DR: In this paper, the authors study VB-groupoids and VB algebroids and elucidate the Lie theory relating these objects, i.e., their relation via differentiation and integration.
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Multiplicative forms at the infinitesimal level
TL;DR: In this article, the authors describe arbitrary multiplicative differential forms on Lie groupoids infinitesimally, i.e., in terms of Lie algebroid data, and draw a parallel between the two theories.
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Linear and Multiplicative 2-Forms
TL;DR: In this paper, the relationship between multiplicative 2-forms on Lie groupoids and linear 2-form on Lie algebroids is studied, which leads to a new approach to the infinitesimal description of multiplicative two-forms and to the integration of twisted Dirac manifolds.
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Linear and multiplicative 2-forms
TL;DR: In this article, the relationship between multiplicative 2-forms on Lie groupoids and linear 2-form on Lie algebroids is studied, which leads to a new approach to the infinitesimal description of multiplicative two-forms and to the integration of twisted Dirac manifolds.
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Van Est isomorphism for homogeneous cochains
TL;DR: In this article, a Van Est map for representations up to homotopy on 2-term graded vector bundles has been obtained for Lie groupoids with k-homogeneous cochains.