Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dual pairs of quantum moment maps and doubles of Hopf algebras   For any finite-dimensional Hopf algebra $A$ there exists a natural
associative algebra homomorphism $D(A) \to H(A)$ between its Drinfeld double
$D(A)$ and its Heisenberg double $H(A)$. We construct this homomorphism using a
pair of commuting quantum moment maps, and then use it to provide a
homomorphism of certain reflection equation algebras. We also explain how the
quantization of the Grothendieck-Springer resolution arises in this context.

24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci