Super-biderivations and linear super-commuting maps on simple Lie superalgebras

Published 21 Dec 2023 in math.RA | (2312.13854v1)

Abstract: Let L be a finite dimensional simple Lie superalgebra over an algebraically closed field of characteristic different from 2. In this paper, we prove that each skew-supersymmtric super-biderivation of L is inner. Furthermore, we prove that each linear super-commuting map on L is a scalar multiplication map.

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