The Classification of n-Lie Algebras

2010/06/10 by Ruipu Bai, Bai, Ruipu, Guojie Song +3
Mathematics · #Advanced Topics in Algebra #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1006.1932

openalex publication_date 2010/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper proves the isomorphic criterion theorem for (n+2)-dimensional n-Lie algebras, and gives a complete classification of (n+1)-dimensional n-Lie algebras and (n+2)-dimensional n-Lie algebras over an algebraically closed field of characteristic zero.

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