Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poisson Algebra of Wilson Loops and Derivations of Free Algebras   We describe a finite analogue of the Poisson algebra of Wilson loops in
Yang-Mills theory. It is shown that this algebra arises in an apparently
completely different context; as a Lie algebra of vector fields on a
non-commutative space. This suggests that non-commutative geometry plays a
fundamental role in the manifestly gauge invariant formulation of Yang-Mills
theory. We also construct the deformation of the loop algebra induced by
quantization, in the large N_c limit.

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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: math
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol