Skew-symmetric super-biderivations of the Hamiltonian superalgebra H(m, n; t)

Abstract: This paper aims to study the skew-symmetric super-biderivations of the Hamiltonian superalgebra H(m, n; t). Let H denote the Hamiltonian Lie superalgebra H(m, n; t) over a field of characteristic p > 2. Utilizing the abelian subalgebra TH and the weight space decomposition of H with respect to TH , we show the action of a skew-symmetric super-biderivation on the elements of TH and some specific elements of H. Moreover, we prove that all skew-symmetric super-biderivations of H are inner.