Special Freudenthal–Kantor triple systems and Lie algebras with dicyclic symmetry
Published online by Cambridge University Press: 15 November 2011
Abstract
We study Lie algebras endowed with an action by automorphisms of the dicyclic group of degree 3. The close connections of these algebras with Lie algebras graded over the non-reduced root system BC1, with J-ternary algebras and with Freudenthal–Kantor triple systems are explored.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 6 , December 2011 , pp. 1225 - 1262
- Copyright
- Copyright © Royal Society of Edinburgh 2011
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