Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wildness for tensors   In representation theory, a classification problem is called wild if it
contains the problem of classifying matrix pairs up to simultaneous similarity.
The latter problem is considered as hopeless; it contains the problem of
classifying an arbitrary finite system of vector spaces and linear mappings
between them. We prove that an analogous "universal" problem in the theory of
tensors of order at most 3 over an arbitrary field is the problem of
classifying three-dimensional arrays up to equivalence transformations \[
[a_{ijk}]_{i=1}^{m}\,{}_{j=1}^{n}\,{}_{k=1}^{t}\ \mapsto\ \Bigl[ \sum_{i,j,k}
a_{ijk}u_{ii'} v_{jj'}w_{kk'}\Bigr]{}_{i'=1}^{m}\,{}_{j'=1}^{n}\,{}_{k'=1}^{t}
\] in which $[u_{ii'}]$, $[v_{jj'}]$, $[w_{kk'}]$ are nonsingular matrices:
this problem contains the problem of classifying an arbitrary system of tensors
of order at most three.

28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas