On the types for supercuspidal representations of inner forms of GL_N

2019/09/24 by Yamamoto, Yuki
#FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1909.10748

Abstract

Let F be a non-Archimedean local field, A be a central simple F-algebra, and G be the multiplicative group of A. It is known that for every irreducible supercuspidal representation π, there exists a [G, π]_G-type (J, λ), called a (maximal) simple type. We will show that [G, π]_G-types defined over some maximal compact subgroup are unique up to G-conjugations under some unramifiedness assumption on a simple stratum.

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