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This article is available for purchase or by subscription. See below.
Abstract
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Our goal is to introduce a smaller, but equivalent version of the deformation
–groupoid
associated to a homotopy Lie algebra. In the case of differential graded Lie algebras,
we represent it by a universal cosimplicial object.
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Keywords
deformation theory, Deligne groupoid, differential graded
Lie algebras, Maurer–Cartan elements
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Mathematical Subject Classification 2010
Primary: 17B55
Secondary: 18G55, 55U10
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Publication
Received: 30 March 2018
Revised: 6 September 2018
Accepted: 25 September 2018
Published: 21 May 2019
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