Ideals and conjugacy classes in solvable Lie algebras
Sajid Ali, Hassan Azad, Indranil Biswas, Fazal M. Mahomed

TL;DR
This paper presents a constructive method to identify all ideals in a solvable Lie algebra and uses this to algorithmically classify all conjugacy classes of its subalgebras.
Contribution
It introduces a new constructive procedure for finding ideals and conjugacy classes in solvable Lie algebras, enhancing understanding of their subalgebra structure.
Findings
Provided a method to determine all ideals of a solvable Lie algebra.
Developed an algorithm to classify conjugacy classes of subalgebras.
Facilitated structural analysis of solvable Lie algebras.
Abstract
A constructive procedure is given to determine all ideals of a solvable Lie algebra. This is used in determining algorithmically all conjugacy classes of subalgebras of a given solvable Lie algebra.
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Taxonomy
TopicsAdvanced Data Processing Techniques
