Classification of 6-Dimensional MD-Class Lie Algebras Whose Derived Ideals Has Dimension at Most 2.

Trần An Hải, Nguyễn Văn An

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Abstract

In this paper, we classify 6-dimensional Lie algebras belonging to the MD class whose derived ideal has dimension at most 2. At the same time, we also prove that the dimension of the derived ideal of these Lie algebras must be equal to 2.

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References

Diep, D.N. (1974). The structure of the C*-algebra of the group of affine transformation on the line, Functional Analysis and Application, 9, 63-64.
Kirilov, A. A. (1976). Elements of the Theory of representations, Springer-verlag.
Son, V. M, Viet, H. H. (1984). Sur la structure des C*-algèbres d’une classe de groupes de Lie, J. Operator Theory, 11, 77-90.
Tra, D. V. (1984), On the Lie groups of the class MD with rather small dimensions, unpublished paper (presented at the XII Scientific Conference of the Mathematical Institute.
Tra, D. V. (1993), On a class of resolvable Lie algebras, Acta Math. Vietnam, 18, 19-60.
Viet, H. H. (1986). Sur la structure des C*-algèbres d’une classe de groupes de Lie résolubles de dimension 3, Acta Math. Vietnam, 11, 86–91.
Vu, L. A. (1990). On the foliations formed by the Generic K-orbits of the MD4-Groups, Acta Math. Vietnam, 15, 39-55.