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

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 conclusion...

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Bibliographic Details
Main Authors: Tang Xiaomin, Yang Yu
Format: Article
Language:English
Published: De Gruyter 2018-04-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2018.16.issue-1/math-2018-0042/math-2018-0042.xml?format=INT