Poisson and symplectic functions in Lie algebroid theory

Details Poisson and symplectic functions in Lie algebroid theory Poisson and symplectic functions in Lie algebroid theory

2007-11-13

arxiv.org/abs/0711.2043v4

Mathematics

Symplectic Geometry

Dedicated to Murray Gerstenhaber and Jim Stasheff, 27 pages, to appear in Progress in Math.; editorial changes, one reference

Scientific paper

Emphasizing the role of Gerstenhaber algebras and of higher derived brackets in the theory of Lie algebroids, we show that the several Lie algebroid brackets which have been introduced in the recent literature can all be defined in terms of Poisson and pre-symplectic functions in the sense of Roytenberg and Terashima. We prove that in this very general framework there exists a one-to-one correspondence between non-degenerate Poisson functions and symplectic functions. We determine the differential associated to a Lie algebroid structure obtained by twisting a structure with background by both a Lie bialgebra action and a Poisson bivector.

Affiliated with

Also associated with

No associations

Rating

Poisson and symplectic functions in Lie algebroid theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Poisson and symplectic functions in Lie algebroid theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Poisson and symplectic functions in Lie algebroid theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-271707