Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Validity of the Gell-Mann formula for sl(n,R) and su(n) algebras   The so called Gell-Mann formula, a prescription designed to provide an
inverse to the Inonu-Wigner Lie algebra contraction, has a great versatility
and potential value. This formula has no general validity as an operator
expression. The question of applicability of Gell-Mann's formula to various
algebras and their representations was only partially treated. The validity
constraints of the Gell-Mann formula for the case of sl(n,R) and su(n) algebras
are clarified, and the complete list of representations spaces for which this
formula applies is given. Explicit expressions of the sl(n,R) generators matrix
elements are obtained, in these cases, by making use of the Gell-Mann formula.

25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio