Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Structure of the Kauffman Bracket Skein Algebra at Roots of Unity   This paper is focused on the structure of the Kauffman bracket skein algebra
of a punctured surface at roots of unity. A criterion that determines when a
collection of skeins forms a basis of the skein algebra as an extension over
the $SL(2,{\mathbb C})$ characters of the fundamental group of the surface,
with appropriate localization is given. This is used to prove that when the
algebra is localized so that every nonzero element of the center has a
multiplicative inverse, that it is a division algebra. Finally, it is proved
that the localized skein algebra can be split over its center as a tensor
product of two commutative subalgebras.

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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: solv-int
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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: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: math-ph