Title of article :
A class of strongly homotopy Lie algebras with simplified sh-Lie structures
Author/Authors :
Samer Al-Ashhab and Ron Fulp، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Abstract :
Given a complex that is a differential graded vector space, it is known that a single mapping defined on a space of it where the homology is non-trivial extends to a strongly homotopy Lie algebra (on the graded space) when that mapping satisfies two conditions. This strongly homotopy Lie algebra is non-trivial (it is not a Lie algebra); however we show that one can obtain an sh-Lie algebra where the only non-zero 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 non-zero terms, on which the same sh-Lie structure exists.
Journal title :
Journal of Pure and Applied Algebra
Journal title :
Journal of Pure and Applied Algebra