The homology groups of some two-step nilpotent Lie algebras associated to symplectic vector spaces
| dc.creator | Getzler, E. | |
| dc.date | 1999-03-24 | |
| dc.date.accessioned | 2026-07-07T05:28:28Z | |
| dc.date.available | 2026-07-07T05:28:28Z | |
| dc.description | 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_2;a_2)] = (0,<h_1,h_2> v_1 v_2) . In this paper, we calculate the Lie algebra homology of L_H(V) as a polynomial functor of V. This has applications to the analysis of the Leray-Serre spectral sequence of the fibrations of moduli spaces of pointed curves M_{1,n}->M_{1,1} and M_{g,n}->M_g. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/9903147 | |
| dc.identifier | http://arxiv.org/abs/math/9903147 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78267 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Algebraic Topology | |
| dc.subject | 17B55; 17B30 | |
| dc.title | The homology groups of some two-step nilpotent Lie algebras associated to symplectic vector spaces | |
| dc.type | text |