Email this article Lie Bialgebras with Triality and Mal’tsev Bialgebras
- Authors: Goncharov M.E.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 55, No 3 (2016)
- Pages: 198-216
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/233984
- DOI: https://doi.org/10.1007/s10469-016-9389-2
- ID: 233984
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Abstract
We consider the relationship between Mal’tsev bialgebras and Lie bialgebras with triality, and also between symplectic Mal’tsev algebras and symplectic Lie algebras with triality. The given relations generalize a connection between Mal’tsev algebras and Lie algebras with triality, revealed by P. O. Mikheev [15], and a connection between Mal’tsev coalgebras and Lie coalgebras with triality, explored by M. E. Goncharov and V. N. Zhelyabin [17].
About the authors
M. E. Goncharov
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: goncharov.gme@gmail.com
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
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