The lie algebra cohomology of jets

Kim, Y. (2004) The lie algebra cohomology of jets. Journal of Lie Theory, 14, pp. 271-286.

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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 zg [[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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Kim, Dr Yunhyong
Authors: Kim, Y.
Subjects:Q Science > QA Mathematics
College/School:College of Arts > School of Humanities > Information Studies
Journal Name:Journal of Lie Theory
Publisher:Heldermann Verlag
ISSN:0949-5932

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