The homology groups of some two-step nilpotent Lie algebras associated to symplectic vector spaces

E. Getzler

Let H be a symplectic vector space, let V be a vector space, and consider the nilpotent Lie algebra L_H(V) = H \otimes V + S^2(V) with bracket [(h_1 \otimes v_1;a_1),(h_2 \otimes v…