Mathematical Surveys and Monographs: Study in Derived Algebraic Geometry : Deformations, Lie Theory and Formal Geometry by Nick Rozenblyum and Dennis Gaitsgory (2020, Trade Paperback)
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ISBN-13: 9781470452858, 978-1470452858. The second part establishes the equivalence between formal Lie group(oids) and Lie algebr(oids) in the category of ind-coherent sheaves. This equivalence gives a vast generalization of the equivalence between Lie algebras and formal moduli problems.