An Algorithm for Determining Lie Algebra Types

Fuente: arXiv
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Hauptverfasser: Nguyen, Tu N. T. C., Nguyen, Tuan A., Le, Vu A.
Format: Preprint
Veröffentlicht: 2025
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author Nguyen, Tu N. T. C.
Nguyen, Tuan A.
Le, Vu A.
author_facet Nguyen, Tu N. T. C.
Nguyen, Tuan A.
Le, Vu A.
contents This paper investigates the Jordan--Kronecker invariant of finite dimensional complex Lie algebras. We present an explicit algorithm for determining the type of a given Lie algebra from its Jordan--Kronecker invariant. The algorithm is implemented in a specific Matlab program.
format Preprint
id arxiv_https___arxiv_org_abs_2512_04438
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An Algorithm for Determining Lie Algebra Types
Nguyen, Tu N. T. C.
Nguyen, Tuan A.
Le, Vu A.
Rings and Algebras
17B05, 15A21, 68W30
This paper investigates the Jordan--Kronecker invariant of finite dimensional complex Lie algebras. We present an explicit algorithm for determining the type of a given Lie algebra from its Jordan--Kronecker invariant. The algorithm is implemented in a specific Matlab program.
title An Algorithm for Determining Lie Algebra Types
topic Rings and Algebras
17B05, 15A21, 68W30
url https://arxiv.org/abs/2512.04438