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- W2260147001 abstract "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 ${rm SL}_1(D)$." @default.
- W2260147001 created "2016-06-24" @default.
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- W2260147001 date "2017-03-01" @default.
- W2260147001 modified "2023-10-18" @default.
- W2260147001 title "Characters of the norm-one units of local division algebras of prime degree" @default.
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- W2260147001 doi "https://doi.org/10.1016/j.jalgebra.2016.11.004" @default.
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