Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On coadjoint orbits for $p$-Sylow subgroups of finite classical groups   Kirillov's orbit theory provides a powerful tool for the investigation of
irreducible unitary representations of many classes of Lie groups. In a
previous paper we used a modification hereof, called monomial linearisation, to
construct a monomial basis of the regular representation of $p$-Sylow subgroups
$U$ of the finite classical groups of untwisted type. In this sequel to this
article we determine the stabilizers of special orbit generators and show, that
for the groups of Lie type ${\mathfrak{B}}_n$ and ${\mathfrak{D}}_n$ a subclass
of the orbit modules decompose the $U$-modules affording the Andr\'{e}-Neto
supercharacters into a direct sum of submodules. Moreover these special orbit
modules are either isomorphic or have no irreducible constituent in common, and
each irreducible $U$ module is up to isomorphism constituent of precisely one
of these.

34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs