Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The center of the affine nilTemperley-Lieb algebra   We give a description of the center of the affine nilTemperley-Lieb algebra
based on a certain grading of the algebra and on a faithful representation of
it on fermionic particle configurations. We present a normal form for
monomials, hence construct a basis of the algebra, and use this basis to show
that the affine nilTemperley-Lieb algebra is finitely generated over its
center. As an application, we obtain a natural embedding of the affine
nilTemperley-Lieb algebra on N generators into the affine nilTemperley-Lieb
algebra on N + 1 generators.

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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio