Deformation Theory of Infinity Algebras

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dc.creatorFialowski, Alice
dc.creatorPenkava, Michael
dc.date2001-01-11
dc.date.accessioned2026-07-07T07:49:39Z
dc.date.available2026-07-07T07:49:39Z
dc.descriptionThis work explores the deformation theory of algebraic structures in a very general setting. These structures include commutative, associative algebras, Lie algebras, and the infinity versions of these structures, the strongly homotopy associative and Lie algebras. In all these cases the algebra structure is determined by an element of a certain graded Lie algebra which plays the role of a differential on this algebra. We work out the deformation theory in terms of the Lie algebra of coderivations of an appropriate coalgebra structure and construct a universal infinitesimal deformation as well as a miniversal formal deformation. By working at this level of generality, the main ideas involved in deformation theory stand out more clearly.
dc.description31 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/0101097
dc.identifierhttp://arxiv.org/abs/math/0101097
dc.identifierJournal of Algebra 255 (2002), 59-88
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124936
dc.subjectRepresentation Theory
dc.subjectCommutative Algebra
dc.subject14D (primary), 13D, 17B (secondary)
dc.titleDeformation Theory of Infinity Algebras
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