Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation up to homotopy of Hom-Lie algebroids   A hom-Lie algebroid is a vector bundle together with a Lie algebroid like
structure which is twisted by a homomorphism. In this paper we use the idea of
representations up to homotopy of Lie algebroids to construct a same structure
for hom-Lie algebroids and we will explain how representations up to homotopy
of length 1 are related to extensions of hom-Lie algebroids.

8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas