Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: K-groups of the quantum homogeneous space $SU_{q}(n)/SU_{q}(n-2)$   Quantum Steiffel manifolds were introduced by Vainerman and Podkolzin in
\cite{VP}. They classified the irreducible representations of their underlying
$C^*$-algebras. Here we compute the K groups of the quantum homogeneous spaces
$SU_{q}(n)/SU_{q}(n-2), n\ge 3$. Specializing to the case $n=3$ we show that
the fundamental unitary for quantum $SU(3)$ is nontrivial and is a unimodular
element in $K_1$.

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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci