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

Biderivations of the higher rank Witt algebra without anti-symmetric condition AbstractThe 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Mathematics de Gruyter

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

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Publisher
De Gruyter
Copyright
© 2018 Tang and Yang, published by De Gruyter
ISSN
2391-5455
eISSN
2391-5455
D.O.I.
10.1515/math-2018-0042
Publisher site
See Article on Publisher Site

Abstract

AbstractThe 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.

Journal

Open Mathematicsde Gruyter

Published: Apr 30, 2018

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