Journal of Lie Theory Vol. 14, No. 1, pp. 271286 (2004) 

The Lie Algebra Cohomology of JetsYunhyong KimYunhyong KimMaxPlanck Institut für Mathematik Vivatsgasse 7 D53111 Bonn Germany kimy@mpimbonn.mpg.de Abstract: Let $\g$ be a finitedimensional complex semisimple 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 finitedimensional representation of $\g$ which contains any irreducible representation of $\g$ at most once. Classification (MSC2000): 17B56; 17B65 Full text of the article:
Electronic version published on: 29 Jan 2004. This page was last modified: 1 Sep 2004.
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