The second Betti number of doubly weighted homology groups of some pre Lie superalgebra

Abstract

We already showed that Betti numbers are all zero when w is not equal to h for (w,h)-doubly weighted homology groups of some special pre Lie superalgebra and showed the first Betti number is 0 when w = h. In this note, we show that the second Betti number is 0 when w = h.

11 pages

References in corpus (2)

• Cohomology groups of homogeneous Poisson structures
• Euler number and Betti numbers of homology groups of pre Lie superalgebra