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Frontiers of Mathematics in China

ISSN 1673-3452

ISSN 1673-3576(Online)

CN 11-5739/O1

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Front Math Chin    2012, Vol. 7 Issue (3) : 385-396    https://doi.org/10.1007/s11464-012-0174-9
RESEARCH ARTICLE
Poisson structures on basic cycles
Yanhong BAO1,2, Xianneng DU1, Yu YE2()
1. School of Mathematical Sciences, Anhui University, Hefei 230601, China; 2. Department of Mathematics, University of Science and Technology of China, Hefei 230036, China
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Abstract

The Poisson structures on a basic cycle are determined completely via quiver techniques. As a consequence, all Poisson structures on basic cycles are inner.

Keywords Poisson algebra      inner Poisson structure      basic cycle     
Corresponding Author(s): YE Yu,Email:yeyu@ustc.edu.cn   
Issue Date: 01 June 2012
 Cite this article:   
Yanhong BAO,Xianneng DU,Yu YE. Poisson structures on basic cycles[J]. Front Math Chin, 2012, 7(3): 385-396.
 URL:  
https://academic.hep.com.cn/fmc/EN/10.1007/s11464-012-0174-9
https://academic.hep.com.cn/fmc/EN/Y2012/V7/I3/385
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[1] Juan LUO, Shengqiang WANG, Quanshui WU. Frobenius Poisson algebras[J]. Front. Math. China, 2019, 14(2): 395-420.
[2] Shengqiang WANG. Modular derivations for extensions of Poisson algebras[J]. Front. Math. China, 2017, 12(1): 209-218.
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