Published June 2012
| public
Journal Article
Octo-bialgebras
- Creators
- Ni, Xiang
- Bai, Chengming
Abstract
The notion of octo-algebra was introduced by Leroux as a Loday algebra with 8 operations. In this paper, we introduce a notion of octo-bialgebra as a bialgebra theory of octo-algebras, which is equivalent to a double construction of a quadri-algebra with a nondegenerate 2-cocycle or a double construction of an octo-algebra with a nondegenerate invariant bilinear form. Some properties of octo-bialgebras are given, including the study of the coboundary cases which leads to a construction from an analogue of the classical Yang-Baxter equation in an octo-algebra.
Additional Information
© 2012 World Scientific Publishing Co. This work was supported in part by the NSFC (10621101, 10921061), NKBRPC (2006CB, 805905), and SRFDP (200800550015).Additional details
- Eprint ID
- 31372
- Resolver ID
- CaltechAUTHORS:20120509-100002672
- 10621101
- NSFC (China)
- 10921061
- NSFC (China)
- 2006CB805905
- NKBRPC
- 200800550015
- SRFDP
- Created
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2012-05-09Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field