Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representations of $\mathrm{GL}_N$ over finite local principal ideal
  rings - an overview   We give a survey of the representation theory of $\mathrm{GL}_N$ over finite
local principal ideal rings via Clifford theory, with an emphasis on the
construction of regular representations. We review results of Shintani and
Hill, and the generalisation of Takase. We then summarise the main features,
with some details but without proofs, of the recent constructions of regular
representations due to Krakovski--Onn--Singla and Stasinski--Stevens,
respectively.

31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
16
The categories of this paper are: stat
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin