On induction of class functions
S1088-4165-2021-00561-3.pdf
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Let
G
G
be a connected reductive group defined over a finite field
F
q
\mathbf {F}_q
and let
L
L
be a Levi subgroup (defined over
F
q
\mathbf {F}_q
) of a parabolic subgroup
P
P
of
G
G
. We define a linear map from class functions on
L
(
F
q
)
L(\mathbf {F}_q)
to class functions on
G
(
F
q
)
G(\mathbf {F}_q)
. This map is independent of the choice of
P
P
. We show that for large
q
q
this map coincides with the known cohomological induction (whose definition involves a choice of
P
P
).
