Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low Degree Representations of Simple Lie Groups   We give upper bounds for the number of irreducible representations of
dimension at most n for a compact semisimple Lie group. In particular, we prove
that there are at most n irreducible representations of dimension at most n for
a simple compact Lie group. We use this prove that the number of conjugacy
classes of maximal subgroups of a compact simple Lie group is O(r) where r is
the Lie rank. We also give a short proof that the dimensions of the weight
spaces of a maximal torus are small relative to the dimension of an irreducible
module.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: stat