Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semisimple Group (and Loop) Algebras over Finite Fields   We determine the structure of the semisimple group algebra of certain groups
over the rationals and over those finite fields where the Wedderburn
decompositions have the least number of simple components. We apply our work to
obtain similar information about the loop algebras of indecomposable RA loops
and to produce negative answers to the isomorphism problem over various fields.

11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
18
The categories of this paper are: econ