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 |
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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 & Humanities > School of Humanities > Information Studies |
Journal Name: | Journal of Lie Theory |
Publisher: | Heldermann Verlag |
ISSN: | 0949-5932 |
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