Let
be a nonarchimedean local field of characteristic zero and residual characteristic
. Let
be a connected reductive
group defined over
and
an irreducible admissible
representation of
.
A result of C. Mœglin and J.-L. Waldspurger (for
) and S.
Varma (for
)
states that the leading coefficient in the character expansion of
at the identity
element of
gives the dimension of a certain space of degenerate Whittaker forms. In this paper
we generalize this result of Mœglin and Waldspurger to the setting of covering groups
of
.
Keywords
covering groups, character expansion, degenerate Whittaker
forms
