2020/03/12 by Xiaomin Tang, Tang, Xiaomin · 2 citations
Mathematics · Physics and Astronomy · #17A32 #17B10 #17B30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2003.05627
openalex publication_date 2020/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The present paper is devoted to study 2-local derivations on W-algebra W(2,2) which is an infinite-dimensional Lie algebras with some out derivations. We prove that all 2-local derivations on the W-algebra W(2,2) are derivation. We also give a complete classification of the 2-local derivation on the so called thin Lie algebra and prove that it admits a lots of 2-local derivations which are not derivations.