Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cluster multiplication in regular components via generalized Chebyshev
  polynomials   We introduce a multivariate generalization of normalized Chebyshev
polynomials of the second kind. We prove that these polynomials arise in the
context of cluster characters associated to Dynkin quivers of type $\mathbb A$
and representation-infinite quivers. This allows to obtain a simple
combinatorial description of cluster algebras of type $\mathbb A$. We also
provide explicit multiplication formulas for cluster characters associated to
regular modules over the path algebra of any representation-infinite quiver.

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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio