Published February 2013
| Published
Journal Article
Open
Poisson bialgebras
- Creators
- Ni, Xiang
- Bai, Chengming
Abstract
We introduce a notion of Poisson bialgebra as an analogue of a Lie bialgebra of Drinfeld. Poisson bialgebras exhibit many familiar properties of Lie bialgebras. In particular, they can be constructed from a combination of the classical Yang-Baxter equation and the associative Yang-Baxter equation and there exists a natural Drinfeld classical double. Moreover, Poisson bialgebras are related to certain algebraic structures and they fit naturally into a framework to construct compatible Poisson brackets in integrable systems.
Additional Information
© 2013 American Institute of Physics. Received 25 November 2012; accepted 31 January 2013; published online 28 February 2013. The first author thanks Professor V. N. Zhelyabin for kindly sending his paper to him. This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 10621101, 10920161, 11271202, and 11221091), NKBRPC (Grant No. 2006CB805905), and SRFDP (Grant Nos. 200800550015 and 201200 31110022).Attached Files
Published - JMathPhys_54_023515.pdf
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Additional details
- Eprint ID
- 37666
- Resolver ID
- CaltechAUTHORS:20130328-090317154
- 10621101
- National Natural Science Foundation of China (NSFC)
- 10920161
- National Natural Science Foundation of China (NSFC)
- 11271202
- National Natural Science Foundation of China (NSFC)
- 11221091
- National Natural Science Foundation of China (NSFC)
- 2006CB805905
- NKBRPC
- 200800550015
- SRFDP
- 201200 31110022
- SRFDP
- Created
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2013-04-15Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field