Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodicity of irreducible modular and quantum characters   For a root system R, a field K and an invertible element q in K let U be the
associated quantum group, defined via Lusztig's divided powers construction. We
study the irreducible characters of this algebra with integral (but not
necessarily dominant) highest weight. If the l-th cyclotomic polynomial
vanishes when evaluated at q, then these characters exhibit a certain
l-periodicity.

24
The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph