Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Fuzzy S^4 by Quantum Deformation   The fuzzy algebra of S^4 is discussed by quantum deformation. To this end we
embed the classical S^4 in the Kaehler coset space SO(5)/U(2). The harmonic
functions of S^4 are constructed in terms of the complex coordinates of
SO(5)/U(2). Being endowed with the symplectic structure they can be deformed by
the Fedosov formalism. We show that they generate the fuzzy algebra \hat
A_\infty (S^4) under the * product defined therein, by using the Darboux
coordinate system. The fuzzy spheres of higher even dimensions can be discussed
similarly. We give basic arguments for the generalization as well.

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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an