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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. Kiselevab, J. W. van de Leura

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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  • https://www.mathnet.ru/eng/tmf/v167/i3/p432
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:92
    First page:18
     
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