On the Leibniz cohomology of vector fields (Q1599389)

The authors generalize the tools to compute the Leibniz cohomology introduced in [\textit{I. M. Gelfand} and \textit{D. B. Fuks}, Funct. Anal. Appl. 3, 194-210 (1970); translation from Funkts. Anal. Prilozh. 3, No. 3, 32-52 (1969; Zbl 0216.20301)] by extending the two spectral sequences associated to the diagonal and the order filtration. In particular, they determine some new generators for the diagonal Leibniz cohomology of the Lie algebra of vector fields on the circle.