Biderivations of the higher rank Witt algebra without anti-symmetric condition

Autor: Tang Xiaomin, Yang Yu
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Open Mathematics, Vol 16, Iss 1, Pp 447-452 (2018)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2018-0042
Popis: The Witt algebra 𝔚d of rank d(≥ 1) is the derivation algebra of Laurent polynomial algebras in d commuting variables. In this paper, all biderivations of 𝔚d without anti-symmetric condition are determined. As an applications, commutative post-Lie algebra structures on 𝔚d are obtained. Our conclusions recover and generalize results in the related papers on low rank or anti-symmetric cases.
Databáze: Directory of Open Access Journals