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arXiv · 2108.08159

Classification of a Class of Solvable Real Lie Algebras by using Techniques in Matrix Theory

Hieu Ha Van·Vu Le Anh·Hoa Duong Quang
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Abstract

We give a complete classification of the class of Lie algebras of simply connected real Lie groups whose nontrivial coadjoint orbits are of codimension 1. Such a Lie group belongs to a well-known class, called the class of MD-groups. The Lie algebra of an MD-group is called an MD-algebra. Some interest properties of MD-algebras will be investigated as well. The techniques used in this paper is elementary techniques in matrix theory and available to apply to more general cases.

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Hieu Ha Van, Vu Le Anh, Hoa Duong Quang. 2021-08-18. Classification of a Class of Solvable Real Lie Algebras by using Techniques in Matrix Theory. https://arxiv.org/abs/2108.08159

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