Super-biderivations of the generalized Witt Lie superalgebra W(m,n; t )

Abstract

Let W denote the generalized Witt Lie superalgebra over a field of characteristic p>2. Utilizing the abelian subalgebra T and the weight space decomposition of W with respect to T, we show the action of the skew-symmetric super-biderivation on the elements of T and the generators of W. Moreover, we prove that each skew-symmetric super-biderivation of W is inner.