Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A2-Planar Algebras I   We give a diagrammatic presentation of the A_2-Temperley-Lieb algebra.
Generalizing Jones' notion of a planar algebra, we formulate an A_2-planar
algebra motivated by Kuperberg's A_2-spider. This A_2-planar algebra contains a
subfamily of vector spaces which will capture the double complex structure
pertaining to the subfactor for a finite SU(3) ADE graph with a flat cell
system, including both the periodicity three coming from the A_2-Temperley-Lieb
algebra as well as the periodicity two coming from the subfactor basic
construction. We use an A_2-planar algebra to obtain a description of the
(Jones) planar algebra for the Wenzl subfactor in terms of generators and
relations.

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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: q-alg