Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Weyl Character Formula, the half-spin representations, and equal
  rank subgroups   Let B be a reductive Lie subalgebra of a semi-simple Lie algebra of the same
rank both over the complex numbers. To each finite dimensional irreducible
representation $V_\lambda$ of F we assign a multiplet of irreducible
representations of B with m elements in each multiplet, where m is the index of
the Weyl group of B in the Weyl group of F. We obtain a generalization of the
Weyl character formula; our formula gives the character of $V_\lambda$ as a
quotient whose numerator is an alternating sum of the characters in the
multiplet associated to $V_\lambda$ and whose denominator is an alternating sum
of the characters of the multiplet associated to the trivial representation of
F.

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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
14
The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol