Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalization of the Gell-Mann formula for sl(5, R) and su(5) algebras   The so called Gell-Mann formula expresses the Lie algebra elements in terms
of the corresponding Inonu-Wigner contracted ones. In the case of sl(n, R) and
su(n) algebras contracted w.r.t. so(n) subalgebras, the Gell-Mann formula is
generally not valid, and applies only in the cases of some algebra
representations. A generalization of the Gell-Mann formula for sl(5,R) and
su(5) algebras, that is valid for all representations, is obtained in a group
manifold framework of the SO(5) and/or Spin(5) group.

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The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys