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Deformations of Linear Lie Brackets
Published 5 May 2018 in math.DG, math.RT, and math.SG | (1805.02108v2)
Abstract: A VB-algebroid is a vector bundle object in the category of Lie algebroids. We attach to every VB-algebroid a differential graded Lie algebra and we show that it controls deformations of the VB-algebroid structure. Several examples and applications are discussed. This is the first in a series of papers devoted to deformations of vector bundles and related structures over differentiable stacks.
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