Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Joint spectra of representations of Lie algebras by compact operators   Given $X$ a complex Banach space, $L$ a complex nilpotent finite dimensional
Lie algebra, and $\rho\colon L\to L(X)$, a representation of $L$ in $X$ such
that $\rho (l)\in K(X)$ for all $l\in L$, the Taylor, the Slodkowski, the
Fredholm, the split and the Fredholm split joint spectra of the representation
$\rho$ are computed.

6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
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The categories of this paper are: hep-ex