Variational Lie algebroids and homological evolutionary vector fields

Abstract

We define Lie algebroids over infinite jet spaces and establish their equivalent representation through homological evolutionary vector fields.

Int. Workshop "Nonlinear Physics: Theory and Experiment VI" (Gallipoli, Italy; June-July 2010). Published v3 = v2 minus typos, to appear in: Theoret. and Mathem. Phys. (2011) Vol.167:3 (168:1), 18 pages

References in corpus (1)

• Variational Poisson-Nijenhuis structures for partial differential equations

Cited by in corpus (7)

• Introduction to graded geometry
• The geometry of variations in Batalin-Vilkovisky formalism
• The calculus of multivectors on noncommutative jet spaces
• On the variational noncommutative Poisson geometry
• The Jacobi identity for graded-commutative variational Schouten bracket revisited
• Non-Abelian Lie algebroids over jet spaces
• Homological evolutionary vector fields in Korteweg-de Vries, Liouville, Maxwell, and several other models