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Abstract
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Let
be a nonarchimedean local field of residual characteristic
. Let
be a connected reductive
group defined over
which splits over a tamely ramified extension, and set
. We assume
that
does not divide the order of the Weyl group of
. Given a closed
connected
-subgroup
that contains the
derived subgroup of
, we
study the restriction to
of an irreducible supercuspidal representation
of
, where
is a
-datum
as per the J.-K. Yu construction. We provide a full description of
into
irreducible components, with multiplicity, via a restriction of data which constructs
-data from
. Analogously,
we define a restriction of Kim–Yu types to study the restriction of irreducible representations
of
which are not supercuspidal.
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Keywords
supercuspidal representations, p-adic group, restriction,
multiplicity
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Mathematical Subject Classification
Primary: 22E50
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Milestones
Received: 14 September 2020
Revised: 17 March 2021
Accepted: 23 March 2021
Published: 4 August 2021
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