Journal of Nonlinear Mathematical Physics

Volume 21, Issue 2, March 2014, Pages 188 - 213

Non-Abelian Lie algebroids over jet spaces

Authors
Arthemy V. Kiselev
Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen P.O.Box 407, Groningen, 9700 AK, The Netherlands,A.V.Kiselev@rug.nl
Andrey O. Krutov
Department of Higher Mathematics, Ivanovo State Power University Rabfakovskaya str. 34, Ivanovo, 153003, Russia,krutov@math.ispu.ru
Received 13 November 2013, Accepted 7 January 2014, Available Online 6 January 2021.
DOI
https://doi.org/10.1080/14029251.2014.900992How to use a DOI?
Keywords
Zero-curvature representation; gauge transformation; Lie algebroid; homological vector field; master equation
Abstract

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.

Copyright
© 2014 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
21 - 2
Pages
188 - 213
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1080/14029251.2014.900992How to use a DOI?
Copyright
© 2014 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Arthemy V. Kiselev
AU  - Andrey O. Krutov
PY  - 2021
DA  - 2021/01/06
TI  - Non-Abelian Lie algebroids over jet spaces
JO  - Journal of Nonlinear Mathematical Physics
SP  - 188
EP  - 213
VL  - 21
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2014.900992
DO  - https://doi.org/10.1080/14029251.2014.900992
ID  - Kiselev2021
ER  -