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

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

1999-03-24

arxiv.org/abs/math/9903147v1

Mathematics

K-Theory and Homology

10 pages

Scientific paper

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, 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.

Affiliated with

Also associated with

No associations

Rating

The homology groups of some two-step nilpotent Lie algebras associated to symplectic vector spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The homology groups of some two-step nilpotent Lie algebras associated to symplectic vector spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The homology groups of some two-step nilpotent Lie algebras associated to symplectic vector spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-342383