Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hopf Algebroid Twists for Deformation Quantization of Linear Poisson
  Structures   In our earlier article [Lett. Math. Phys. 107 (2017), 475-503,
arXiv:1409.8188], we explicitly described a topological Hopf algebroid playing
the role of the noncommutative phase space of Lie algebra type. Ping Xu has
shown that every deformation quantization leads to a Drinfeld twist of the
associative bialgebroid of h-adic series of differential operators on a fixed
Poisson manifold. In the case of linear Poisson structures, the twisted
bialgebroid essentially coincides with our construction. Using our explicit
description of the Hopf algebroid, we compute the corresponding Drinfeld twist
explicitly as a product of two exponential expressions.

25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys