Analytic decomposition of differential graded Lie algebras

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dc.creatorSchuhmacher, Frank
dc.date2006-07-31
dc.date.accessioned2026-07-07T07:21:08Z
dc.date.available2026-07-07T07:21:08Z
dc.descriptionWe prove explit formulas for the decomposition of a differential graded Lie algebra into a minimal and a linear $L_\infty$-algebra. We define a category of metric $L_\infty$-algebras, called Palamodov $L_\infty$ algebras, where the structure maps satisfy a certain convergence condition and deduce a decomposition theorem for differential graded Lie algebras in this category. This theorem serves for instance to prove the convergence of the Kuranishi map assigned to a differential graded Lie algeba.
dc.descriptionimproves results of "Deformations of L-infinity algebras" (and intersects with it), includes convergence statements, 28 pages
dc.identifierhttps://arxiv.org/abs/math/0607764
dc.identifierhttp://arxiv.org/abs/math/0607764
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115199
dc.subjectQuantum Algebra
dc.subject32C11, 46A04, 58A50
dc.titleAnalytic decomposition of differential graded Lie algebras
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