Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical Yang-Baxter maps and Hopf algebroids associated with s-sets   An s-set is an algebraic generalization of the regular s-manifold introduced
by Kowalski, one of the generalized symmetric spaces in differential geometry.
We prove that suitable s-sets give birth to dynamical Yang-Baxter maps,
set-theoretic solutions to a version of the quantum dynamical Yang-Baxter
equation. As an application, Hopf algebroids and rigid tensor categories are
constructed by means of these dynamical Yang-Baxter maps.

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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg