Biderivations and commutative post-Lie algebra structures on the Lie algebra W(a,b)

2017/12/26 by Xiaomin Tang, Tang, Xiaomin · 1 citation
Mathematics · #17B05 #17B40 #17B68 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:17B05 #msc:17B40 #msc:17B68

paper · pdf · doi:10.48550/arxiv.1712.09202

20 pages

openalex publication_date 2017/12/26 · arxiv created 2018/01/02 · arxiv updated 2018/01/03 · openalex created_date 2018/01/05 · openalex updated_date 2026/07/28

Abstract

For a,b∈ ℂ, the Lie algebra W(a,b) is the semidirect product of the Witt algebra and a module of the intermediate series. In this paper, all biderivations of W(a,b) are determined. Surprisingly, these Lie algebras have symmetric (and skewsymmetric) non-inner biderivations. As an applications, commutative post-Lie algebra structures on W(a,b) are obtained.

Citations

• Biderivations of the Parabolic Subalgebras of Simple Lie Algebras

Cited by

• Quasi-derivations of Witt and related algebras

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