Bicrossed Products, Matched Pair Deformations and the Factorization Index for Lie Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Agore, A.L., Militaru, G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146642
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bicrossed Products, Matched Pair Deformations and the Factorization Index for Lie Algebras / A.L. Agore, G. Militaru // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 22 назв. — англ.

For a perfect Lie algebra h we classify all Lie algebras containing h as a subalgebra of codimension 1. The automorphism groups of such Lie algebras are fully determined as subgroups of the semidirect product h⋉(k∗×AutLie(h)). In the non-perfect case the classification of these Lie algebras is a dif...