Препринт

Solvable Leibniz algebras with triangular nilradicals

I. A. KarimjanovNational University of Uzbekistan, Institute of Mathematics, 29, Do'rmon yo'li street, 100125, Tashkent, UzbekistanAbror KhudoyberdiyevNational University of Uzbekistan, Institute of Mathematics, 29, Do'rmon yo'li street, 100125, Tashkent, UzbekistanB. A. OmirovNational University of Uzbekistan, Institute of Mathematics, 29, Do'rmon yo'li street, 100125, Tashkent, Uzbekistan

arXiv (Cornell University)repository2014en

ABI

Аннотация

In this paper the description of solvable Lie algebras with triangular nilradicals is extended to Leibniz algebras. It is proven that the matrices of the left and right operators on elements of Leibniz algebra have upper triangular forms. We establish that solvable Leibniz algebra of a maximal possible dimension with a given triangular nilradical is a Lie algebra. Furthermore, solvable Leibniz algebras with triangular nilradicals of low dimensions are classified.

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Темы

Advanced Topics in Algebra Algebraic structures and combinatorial models Matrix Theory and Algorithms

Идентификаторы

DOI: 10.48550/arxiv.1407.7956

Цитирования и источники

Цитирований: 0Использованных источников: 4

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