Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4597695 | Journal of Pure and Applied Algebra | 2007 | 7 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Samer Al-Ashhab,