•  
  •  
 

Keywords

Biderivations; Commuting maps; Simple generalized Witt algebras

Abstract

Let $\mathfrak{W}$ be a simple generalizedWitt algebras over a field of characteristic zero. In this paper, weprove that each anti-symmetric biderivation of $\mathfrak{W}$ isinner. As an application of biderivations, we show that a linear map$\psi$ on $\mathfrak{W}$ is commuting if and only if $\psi$ is ascalar multiplication map on $\mathfrak{W}$. The commutingautomorphisms and derivations of $\mathfrak{W}$ are determined.

abs_vol31_pp1-12.pdf (22 kB)
Abstract

Share

COinS
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.