Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characters of the Norm-One Units of Local Division Algebras of Prime
  Degree   We give an explicit construction of all complex continuous irreducible
characters of the group ${\rm SL}_1(D)$, where $D$ is a division algebra of
prime degree $\ell$ over a local field of odd residual characteristic different
than $\ell$. For $\ell$ odd, we show that all such characters of ${\rm
SL}_1(D)$ are induced from linear characters of compact-open subgroups of ${\rm
SL}_1(D)$. We also compute an explicit formula for the representation zeta
function of ${\rm SL}_1(D)$.

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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex