Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On some cocycles which represent the Dixmier-Douady class in simplicial
  de Rham complexes   When a Lie group $G$ has a central $U(1)$-extension, there is a cocycle in
the simplicial de Rham complex $\Omega^3(NG)$ which represents the
Dixmier-Douady class. Mickelsson and Brylinski, McLaughlin constructed a
central $U(1)$-extension $\widehat{LSU(2)} \rightarrow LSU(2)$ whose
Dixmier-Douady class in $\Omega^3(NLSU(2))$ is a kind of transgression of the
second Chern class.
  In this paper, we consider the case of unitary group and construct a central
$U(1)$-extension of $LU(2)$. After that we construct also a cocycle in a
certain triple complex.

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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol