Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A computing strategy and programs to resolve the Gerstenhaber Problem
  for commuting triples of matrices   We describe a MATLAB program that could produce a negative answer to the
Gerstenhaber Problem by the construction of three commuting $n \times n$
matrices $A,B,C$ over a field $F$ such that the subalgebra $F[A,B,C]$ they
generate has dimension greater than $n$. This problem has remained open for
nearly 60 years, following Gerstenhaber's surprising result (Annals Math.) that
$\dim F[A,B] \le n$ for any two commuting matrices $A,B$. The property fails
for four or more commuting matrices. We also make the MATLAB files freely
available.

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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat