Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Note on $\Gamma_n$-isometries   In this note we characterize the distinguished boundary of the symmetrized
polydisc and thereby develop a model theory for $\Gamma_n$-isometries along the
lines of \cite{AY}. We further prove that for invariant subspaces of
$\Gamma_n$-isometries, similar to the case $n=2$ \cite{S}, Beurling-Lax-Halmos
type representation holds.

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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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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: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int