The First-order Cohomology Group Of The Centerless Virasoro Superalgebra

Super Virasoro algebra has been widely studied in mathematics and physics.This paper mainly discuss the first homology group of centerless Super Virasoro algebra W? with coefficients in two classes of tensor modules F?(a,b),M?(a,b).Moreover we classify all invariant skew supersymmetric bilinear form on tensor module F?(a,b).Our main result can be stated as follows:Up to isomorphisms,we have...