Super-biderivations and linear super-commuting maps on the super W-algebra $\widetilde{W}(2,2)$
Volume 153 / 2018
Colloquium Mathematicum 153 (2018), 273-300
MSC: Primary 17B05; Secondary 17B40, 17B68.
DOI: 10.4064/cm7307-8-2017
Published online: 18 June 2018
Abstract
Super-biderivations of the super W-algebra $\widetilde{W}(2,2)$ are characterized. In particular, it is shown that $\widetilde{W}(2,2)$ admits a non-inner super-biderivation. As an application, all linear super-commuting maps on the super W-algebra $\widetilde{W}(2,2)$ are described.
