Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Soliton Solutions on Noncommutative Orbifold $T^{2N}/G$   In this paper, we construct the common eigenstates of "translation" operators
$\{U_{s}\}$ and establish the generalized $Kq$ representation on integral
noncommutative torus $T^{2N}$. We then study the finite rotation group $G$ in
noncommutative space as a mapping in the $Kq$ representation and prove a
Blocking Theorem. We finally obtain the complete set of projection operators on
the integral noncommutative orbifold $T^{2N}/G$ in terms of the generalized
$Kq$ representation. Since projectors are soliton solutions on noncommutative
space in the limit $\alpha ^{\prime}B_{ij}\to \infty (\Theta_{ij}/\alpha
^{\prime}\to 0)$, we thus obtain all soliton solutions on that orbifold
$T^{2N}/G$.

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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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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: supr-con
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The categories of this paper are: q-alg
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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: math
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph