Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The groupoid of bifractional transformations   Bifractional transformations which lead to quantities that interpolate
between other known quantities, are considered. They do not form a group, and
groupoids are used to described their mathematical structure. Bifractional
coherent states and bifractional Wigner functions are also defined. The
properties of the bifractional coherent states are studied. The bifractional
Wigner functions are used in generalizations of the Moyal star formalism. A
generalized Berezin formalism in this context, is also studied.

8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th