Non-Abelian Lie algebroids over jet spaces

We associate Hamiltonian homological evolutionary vector fields - which are the non-Abelian variational Lie algebroids' differentials - with Lie algebra-valued zero-curvature representations for partial differential equations.

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Bibliographic Details
Published inJournal of nonlinear mathematical physics Vol. 21; no. 2; pp. 188 - 213
Main Authors Kiselev, Arthemy V., Krutov, Andrey O.
Format Journal Article
LanguageEnglish
Published Dordrecht Taylor & Francis 01.06.2014
Springer Netherlands
Springer Nature B.V
Subjects
also 53D17
Fields (mathematics)
gauge transformation
Hamiltonian functions
homological vector field
Lie algebroid
Lie groups
master equation
Partial differential equations
Research Article
Zero-curvature representation
70S15
81T13
master equation
Zero-curvature representation
Lie algebroid
81T70
58A20
homological vector field
37K10
gauge transformation
53D17
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Summary:We associate Hamiltonian homological evolutionary vector fields - which are the non-Abelian variational Lie algebroids' differentials - with Lie algebra-valued zero-curvature representations for partial differential equations.
ISSN:1402-9251
1776-0852
1776-0852
DOI:10.1080/14029251.2014.900992