{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T13:58:00Z","timestamp":1768485480512,"version":"3.49.0"},"reference-count":65,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T00:00:00Z","timestamp":1559260800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"name":"FWO postdoctoral fellowship"},{"name":"GNSAGA"},{"name":"Centre for Mathematics of the University of Coimbra","award":["UID\/MAT\/00324\/2013"],"award-info":[{"award-number":["UID\/MAT\/00324\/2013"]}]},{"name":"FWO research project","award":["G083118N"],"award-info":[{"award-number":["G083118N"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,9,12]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>VB-groupoids and algebroids are vector bundle objects in the categories of Lie groupoids and Lie algebroids, respectively, and they are related via the Lie functor. VB-groupoids and algebroids play a prominent role in Poisson and related geometries. Additionally, they can be seen as models for vector bundles over singular spaces. In this paper we study their infinitesimal automorphisms, i.e. vector fields on them generating a flow by diffeomorphisms preserving both the linear and the groupoid\/algebroid structures. For a special class of VB-groupoids\/algebroids coming from representations of Lie groupoids\/algebroids, we prove that infinitesimal automorphisms are the same as multiplicative sections of a certain derivation VB-groupoid\/algebroid.<\/jats:p>","DOI":"10.1093\/qmath\/haz007","type":"journal-article","created":{"date-parts":[[2019,3,18]],"date-time":"2019-03-18T20:14:28Z","timestamp":1552940068000},"page":"1039-1089","source":"Crossref","is-referenced-by-count":9,"title":["Infinitesimal Automorphisms of VB-Groupoids and Algebroids"],"prefix":"10.1093","volume":"70","author":[{"given":"Chiara","family":"Esposito","sequence":"first","affiliation":[{"name":"Dipartimento di Matematica, Universit\u00e0 degli Studi di Salerno, via Giovanni Paolo II, 123, Fisciano (SA), Italy"}]},{"given":"Luca","family":"Vitagliano","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica, Universit\u00e0 degli Studi di Salerno, via Giovanni Paolo II, 123, Fisciano (SA), Italy"}]},{"given":"Alfonso Giuseppe","family":"Tortorella","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Katholieke Universiteit (KU) Leuven, Celestijnenlaan 200B box 2400, Leuven, Belgium"}]}],"member":"286","published-online":{"date-parts":[[2019,5,31]]},"reference":[{"key":"2019091107283006200_haz007C1","first-page":"91","article-title":"Representations up to homotopy of Lie algebroids","volume":"663","author":"Arias Abad","year":"2012","journal-title":"J. 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