A. V. Kiselev, J. W. van de Leur, “Variational Lie algebroids and homological evolutionary vector fields”, TMF, 167:3 (2011), 432–447; Theoret. and Math. Phys., 167:3 (2011), 772

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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 167, Number 3, Pages 432–447
DOI: https://doi.org/10.4213/tmf6652 (Mi tmf6652)

This article is cited in 10 scientific papers (total 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

Full-text PDF (599 kB) Citations (10)

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DOI: https://doi.org/10.4213/tmf6652

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

English version:
Theoretical and Mathematical Physics, 2011, Volume 167, Issue 3, Pages 772–784
DOI: https://doi.org/10.1007/s11232-011-0061-7

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. V. Kiselev, J. W. van de Leur, “Variational Lie algebroids and homological evolutionary vector fields”, TMF, 167:3 (2011), 432–447; Theoret. and Math. Phys., 167:3 (2011), 772–784

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf6652

https://doi.org/10.4213/tmf6652

https://www.mathnet.ru/eng/tmf/v167/i3/p432

This publication is cited in the following 10 articles:

Patrick Cabau, Fernand Pelletier, “Structures bihamiltoniennes partielles”, Bulletin des Sciences Mathématiques, 195 (2024), 103485
Kiselev A.V., “The Calculus of Multivectors on Noncommutative Jet Spaces”, J. Geom. Phys., 130 (2018), 130–167
Fairon M., “Introduction to Graded Geometry”, Eur. J. Math., 3:2 (2017), 208–222
Kiselev A.V. Krutov A.O., “Non-Abelian Lie Algebroids Over Jet Spaces”, J. Nonlinear Math. Phys., 21:2 (2014), 188–213
A. V. Kiselev, “The Jacobi identity for graded-commutative variational Schouten bracket revisited”, Phys. Part. Nuclei Lett., 11:7 (2014), 950
Kiselev A.V., “The Geometry of Variations in Batalin-Vilkovisky Formalism”, Xxist International Conference on Integrable Systems and Quantum Symmetries (Isqs21), Journal of Physics Conference Series, 474, eds. Burdik C., Navratil O., Posta S., IOP Publishing Ltd, 2013
Kiselev A.V., “Homological evolutionary vector fields in Korteweg–de Vries, Liouville, Maxwell, and several other models”, 7th International Conference on Quantum Theory and Symmetries (QTS7), J. Phys.: Conf. Ser., 343, 2012, 012058
Kiselev A.V., “On the variational noncommutative Poisson geometry”, Phys. Part. Nuclei, 43:5 (2012), 663–665
Pelletier F., “Integrability of weak distributions on Banach manifolds”, Indag. Math. (N.S.), 23:3 (2012), 214–242
Hussin V., Kiselev A.V., “A convenient criterion under which $\mathbb Z_2$-graded operators are Hamiltonian”, Physical and mathematical aspects of symmetry, J. Phys.: Conf. Ser., 284, no. 1, 2011, 012035

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	520
Full-text PDF :	196
References:	92
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