Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Explicit Presentation of the Grothendieck Ring of Finitely Generated
  F_{q}[SL(2,F_{q})]-Modules   Let p be a prime and q=p^g. We show that the Grothendieck ring of finitely
generated F_{q}[SL(2,F_{q})]-modules is naturally isomorphic to the quotient of
the polynomial algebra Z[x] by the ideal generated by f^[g](x)-x, where
f(x)=sum_{j=0}^{floor(p/2)}(-1)^{j}(p/(p-j))((p-j); j)x^{p-2j}, and the
superscript [g] denotes g-fold composition of polynomials. We conjecture that a
similar result holds for simply connected semisimple algebraic groups defined
and split over a finite field.

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The categories of this paper are: nlin
29
The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
3
The categories of this paper are: physics
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The categories of this paper are: econ
21
The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph