WALDSPURGER'S INVOLUTION AND TYPES
Published online by Cambridge University Press: 03 December 2004
Abstract
Waldspurger's involution for the genuine irreducible supercuspidal representations of $\widetilde{\mathrm{SL}_{2}(F)}$ is parametrized in terms of types in the case $F$$p$-adic with $p$ odd. In particular, it is shown that the in-volution is given by conjugating by an element of $\widetilde{\mathrm{GL}_{2}(F)}$ and twisting one of the defining parameters of an associated type by a quadratic character, the relevant parameter being a character on the norm one elements of a quadratic extension.
- Type
- Notes and Papers
- Information
- Copyright
- The London Mathematical Society 2004
Footnotes
- 1
- Cited by