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3 results on '"Bandara, Narayana"'

2. Lie subalgebras of so(3; 1) up to conjugacy.

Author

Ghanam, Ryad, Thompson, Gerard, and Bandara, Narayana

Abstract

Purpose - This study aims to find all subalgebras up to conjugacy in the real simple Lie algebra so(3; 1). Design/methodology/approach - The authors use Lie Algebra techniques to find all inequivalent subalgebras of so(3; 1) in all dimensions. Findings - The authors find all subalgebras up to conjugacy in the real simple Lie algebra so(3; 1). Originality/value - This paper is an original research idea. It will be a main reference for many applications such as solving partial differential equations. If so(3; 1) is part of the symmetry Lie algebra, then the subalgebras listed in this paper will be used to reduce the order of the partial differential equation (PDE) and produce non-equivalent solutions. [ABSTRACT FROM AUTHOR]

Published
2022
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3. Ten-dimensional Levi decomposition Lie algebras with so(3) semi-simple factor and Matrix Representations of them

Author

Bandara, Narayana Mudiyanselage Pushpamali Sarada Kumari

Subjects
Mathematics
Abstract

Turkowski has classified Lie algebras that have a non-trivial Levi decomposition ofdimension up to and including nine. In this dissertation the program is extended togive a partial classification of the corresponding Lie algebras in dimension ten. Thekey tool is the R-representation, which is the representation of the semi-simple factorby endomorphisms of the radical. The algebras studied here comprise 35 classes thathave semi-simple factor so(3) and three exceptions for which semi-simple factor is ofdimension six. Most of the algebras have an abelian nilradical, which is probably anartifact of the low dimensions involved.

Published
2021

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