Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lax formulation of a generalized $q$-Garnier system   Recently, a birational representation of an extended affine Weyl group of
type $A_{mn-1}^{(1)}\times A_{m-1}^{(1)}\times A_{m-1}^{(1)}$ was proposed with
the aid of a cluster mutation. In this article we formulate this representation
in a framework of a system of $q$-difference equations with $mn\times mn$
matrices. This formulation is called a Lax form and is used to derive a
generalization of the $q$-Garnier system.

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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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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: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph