Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vector Sheaves Associated with Principal Sheaves   In the framework of Abstract Differential Geometry, we show that to a given
principal sheaf and a representation of its stuctural sheaf in $A^n$, where A
is a sheaf of associative, commutative, unital algebras (over R or C), we
associate a vector sheaf. Moreover, under some natural assumptions on the
compatibility of the representation with the Maurer-Cartan (or, logarithmic)
differentials of the structural sheaves involved, we also show that the
connections of the principal sheaf induce A-connections of the associated
vector sheaf. We thus recover a result of the classical Differential Geometry
within a purely algebro-topological context, without any smoothness assumption.

37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas