Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10735391 | Journal of Geometry and Physics | 2005 | 27 Pages |
Abstract
We determine how such automorphisms relate to the corresponding sh-Lie structure. If a Lie group acts on the bundle via canonical automorphisms, there are induced actions on the space of local functionals and consequently on the corresponding sh-Lie algebra. We determine conditions under which the sh-Lie structure induces an sh-Lie structure on a corresponding reduced space where the reduction is determined by the action of the group. These results are not directly a consequence of the corresponding theorems on Poisson manifolds as none of the algebraic structures are Poisson algebras.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Samer Al-Ashhab, Ron Fulp,