Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brackets in representation algebras of Hopf algebras   For any graded bialgebras $A$ and $B$, we define a commutative graded algebra
$A_B$ representing the functor of $B$-representations of $A$. When $A$ is a
cocommutative graded Hopf algebra and $B$ is a commutative ungraded Hopf
algebra, we introduce a method deriving a Gerstenhaber bracket in $A_B$ from a
Fox pairing in $A$ and a balanced biderivation in $B$. Our construction is
inspired by Van den Bergh's non-commutative Poisson geometry, and may be viewed
as an algebraic generalization of the Atiyah--Bott--Goldman Poisson structures
on moduli spaces of representations of surface groups.

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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
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The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat