Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representations of pointed Hopf algebras and their Drinfel'd quantum
  doubles   We study representations of nilpotent type nontrivial liftings of quantum
linear spaces and their Drinfel'd quantum doubles. We construct a family of
Verma- type modules in both cases and prove a parametrization theorem for
simple modules. We compute the Loewy and socle series of Verma modules under a
mild restriction on the datum of a lifting. We find bases and dimensions of
simple modules.

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The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat