Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Atiyah classes of Lie bialgebras   The Atiyah class was originally introduced by M.F. Atiyah. It has many
developments in recent years. One important case is the Atiyah classes of Lie
algebra pairs. In this paper, we study the Atiyah class of the Lie algebra pair
associated with a Lie bialgebra $(g,g^*)$. A simple description of the Atiyah
class and the first scalar Atiyah class is given by the Lie algebra structures
on $g$ and $g^*$. As its application, the Atiyah classes for some special cases
are investigated.

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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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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: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn