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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 014, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.014 (Mi sigma1096) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Hom-Big Brackets: Theory and Applications

Liqiang Cai, Yunhe Sheng

Department of Mathematics, Jilin University, Changchun 130012, Jilin, China
Full-text PDF (398 kB) Citations (11)
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DOI: https://doi.org/10.3842/SIGMA.2016.014
Abstract: In this paper, we introduce the notion of hom-big brackets, which is a generalization of Kosmann–Schwarzbach's big brackets. We show that it gives rise to a graded hom-Lie algebra. Thus, it is a useful tool to study hom-structures. In particular, we use it to describe hom-Lie bialgebras and hom-Nijenhuis operators.
Keywords: hom-Lie algebras; hom-Nijenhuis–Richardson brackets; hom-big brackets; hom-Lie bialgebras; hom-Nijenhuis operators; hom-$\mathcal O$-operators.
Funding agency Grant number
National Natural Science Foundation of China 11101179
11471139
National Science Foundation 20140520054JH
This research is supported by NSFC (11101179, 11471139) and NSF of Jilin Province (20140520054JH).
Received: July 16, 2015; in final form February 2, 2016; Published online February 5, 2016
Bibliographic databases:
Document Type: Article
MSC: 17B70; 17B62
Language: English
Citation: Liqiang Cai, Yunhe Sheng, “Hom-Big Brackets: Theory and Applications”, SIGMA, 12 (2016), 014, 18 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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