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

Hieu Ha Van; Hoa Duong Quang; Vu Le Anh

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arxiv 2108.08159 v2 pith:P4FLEU5V submitted 2021-08-18 math.RA

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

Hieu Ha Van , Vu Le Anh , Hoa Duong Quang This is my paper

classification math.RA

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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.

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

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