An Algorithm for Computing Ideals and Conjugacy Classes of Subalgebras of Borel Subalgebras
Year: 2025
Type: preprint
Abstract: In this article, we present a constructive procedure for determining all ideals of the Borel subalgebra of a complex semisimple Lie algebra from its root system or, equivalently, its Dynkin diagram. The proposed algorithmic approach has been implemented in Maple. The Maple code has been tested on Borel subalgebras associated with both classical and exceptional Lie algebras. An interactive procedure is also given to determine conjugacy classes of all subalgebras in the derived algebra of the Borel subalgebra.
Source: arXiv (Cornell University)
Authors: Asghar, Nimra Sher, Azad, Hassan
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415083718
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