Deformation of $L_\infty$-Algebras

dc.creatorSchuhmacher, Frank
dc.date2004-05-26
dc.date.accessioned2026-07-07T05:08:35Z
dc.date.available2026-07-07T05:08:35Z
dc.descriptionIn this paper, deformations of $L_\infty$-algebras are defined in such a way that the bases of deformations are $L_\infty$-algebras, as well. A universal and a semiuniversal deformation is constructed for $L_\infty$-algebras, whose cotangent complex admits a splitting. The paper also contains an explicit construction of a minimal $L_\infty$-structure on the homology $H$ of a differential graded Lie algebra $L$ and of an $L_\infty$-quasi-isomorphism between $H$ and $L$.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/math/0405485
dc.identifierhttp://arxiv.org/abs/math/0405485
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71319
dc.subjectQuantum Algebra
dc.subject13D10; 14B20
dc.titleDeformation of $L_\infty$-Algebras
dc.typetext

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