A. V. Kiselev, J. W. van de Leur, “Variational Lie algebroids and homological evolutionary vector fields”, TMF, 2011, Volume 167, Number 3,Pages <nobr>432

This article is cited in 10 papers

Variational Lie algebroids and homological evolutionary vector fields

A. V. Kiselev^ab, J. W. van de Leur^a

^a Mathematical Institute, University of Utrecht, Utrecht, The Netherlands
^b Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, Groningen, The Netherlands

Abstract: We define Lie algebroids over infinite jet spaces and obtain their equivalent representation in terms of homological evolutionary vector fields.

Keywords: Lie algebroid, BRST differential, Poisson structure, integrable system, string theory.

Received: 23.06.2011

DOI: 10.4213/tmf6652