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.
