A Class of Strongly Homotopy Lie Algebras with Simplified sh-Lie Structures

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dc.creatorAl-Ashhab, Samer
dc.date2003-08-17
dc.date.accessioned2026-07-07T05:00:27Z
dc.date.available2026-07-07T05:00:27Z
dc.descriptionIt is known that a single mapping defined on one term of a differential graded vector space extends to a strongly homotopy Lie algebra structure on the graded space when that mapping satisfies two conditions. This strongly homotopy Lie algebra is nontrivial (it is not a Lie algebra); however we show that one can obtain an sh-Lie algebra where the only nonzero mappings defining it are the lower order mappings. This structure applies to a significant class of examples. Moreover in this case the graded space can be replaced by another graded space, with only three nonzero terms, on which the same sh-Lie structure exists.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0308160
dc.identifierhttp://arxiv.org/abs/math/0308160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68332
dc.subjectRings and Algebras
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subject16E45; 81R99
dc.titleA Class of Strongly Homotopy Lie Algebras with Simplified sh-Lie Structures
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