Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Lie algebra cohomology of jets   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.

33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat