Published February 15, 2014
| public
Journal Article
Pseudo-Hessian Lie algebras and L-dendriform bialgebras
- Creators
- Ni, Xiang
- Bai, Chengming
Abstract
In this paper, we study a special class of pseudo-Hessian Lie algebras satisfying an additional condition that they are decomposed into a direct sum of underlying vector spaces of two Lagrangian subalgebras in terms of L-dendriform algebras which are the underlying algebraic structures. Such structures are equivalent to certain bialgebra structures, namely, L-dendriform bialgebras. Furthermore, we introduce and study the so-called triangular pseudo-Hessian Lie algebras and relate them to some semidirect product constructions from the "Lie-type" operations of L-dendriform algebras.
Additional Information
© 2013 Elsevier Inc. Received 15 August 2010; Available online 24 December 2013. Communicated by Efim Zelmanov. This work is supported in part by NSFC (10921061, 11271202, 11221091), NKBRPC (2006CB 805905) and SRFDP (200800550015, 20120031110022).Additional details
- Eprint ID
- 43865
- DOI
- 10.1016/j.jalgebra.2013.12.003
- Resolver ID
- CaltechAUTHORS:20140219-083726921
- 10921061
- National Natural Science Foundation of China (NSFC)
- 11271202
- National Natural Science Foundation of China (NSFC)
- 11221091
- National Natural Science Foundation of China (NSFC)
- 2006CB 805905
- NKBRPC
- 200800550015
- SRFDP
- 20120031110022
- SRFDP
- Created
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2014-02-20Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field