Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness results for noncommutative spheres and projective spaces   It is known that, under strong combinatorial axioms, $O_N\subset O_N^*\subset
O_N^+$ are the only orthogonal quantum groups. We prove here similar results
for the noncommutative spheres $S^{N-1}_\mathbb R\subset S^{N-1}_{\mathbb
R,*}\subset S^{N-1}_{\mathbb R,+}$, the noncommutative projective spaces
$P^{N-1}_\mathbb R\subset P^{N-1}_\mathbb C\subset P^{N-1}_+$, and the
projective orthogonal quantum groups $PO_N\subset PO_N^*\subset PO_N^+$.

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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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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: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th