| Description |
ABSTRACT:
Let $F$ be a finite extension of $\QQ_p$, ${\bf G}$ a connected
reductive group over $F$, and $\pi$ an irreducible admissible representation
of ${\bf G}(F)$. A result of C. Moeglin and J.-L. Waldspurger
states that, if the residual characteristic of $F$ is different from $2$,
then the `leading' coefficients in the character expansion of $\pi$ at the
identity element of ${\bf G}(F)$ give the dimensions of certain spaces of
degenerate Whittaker forms.
We discuss how to extend their result to residual characteristic $2$.
The outline of the proof is the same as in the original paper
of Moeglin and Waldspurger, but
certain constructions need to be modified to accommodate the case
of even residual characteristic.
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