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On supercuspidal representations of $SL_n(F)$ associated with tamely ramified extensions

Published 16 May 2018 in math.NT and math.RT | (1805.06186v2)

Abstract: We will give an explicit construction of irreducible suparcuspidal representations of the special linear group over a non-archimedean local field and will speculate its Langlands parameter by means of verifying the Hiraga-Ichino-Ikeda formula of the formal degree of the supercuspidal representations.

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