The Lie algebra cohomology of jets
Representation Theory
2007-05-23 v3 Algebraic Topology
Abstract
Let g be a finite-dimensional complex semi simple Lie algebra. We present a new calculation of the continuous cohomology of the Lie algebra z g[[z]]. In particular, we shall give an explicit formula for the Laplacian on the Lie algebra cochains, from which we can deduce that the cohomology in each dimension is a finite-dimensional representation of g which contains any irreducible representation of g at most once.
Keywords
Cite
@article{arxiv.math/0208007,
title = {The Lie algebra cohomology of jets},
author = {Yunhyong Kim},
journal= {arXiv preprint arXiv:math/0208007},
year = {2007}
}