Biderivations, commuting mappings and (2-)local derivations of ℕ-graded Lie algebras of maximal class

2021/10/31 by Yong Yang, Yang, Yong, Tang Liming +3
Biochemistry, Genetics and Molecular Biology · Materials Science · Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Porphyrin and Phthalocyanine Chemistry #Rings and Algebras (math.RA) #Sphingolipid Metabolism and Signaling

paper · pdf · doi:10.48550/arxiv.2111.07740

openalex publication_date 2021/10/31 · openalex created_date 2022/10/12 · openalex updated_date 2026/07/28

Abstract

In Fialowski's classification for algebras of maximal class, there are three Lie algebras of maximal class with 1-dimensional homogeneous components: \mathfrakm₀, L₁ and \mathfrakm₂. In this paper, we studied their biderivations by considering the embedded mapping to derivation algebras. Then we determined commuting mappings on these algebras as an application of biderivations. Finally, local and 2-local derivations for these three algebras were characterized as the given gradings.

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