Abstract
Let 𝐹 be a non-Archimedean local field, and let 𝜎 be a non-trivial Galois involution with fixed field
Funding source: Nederlandse Organisatie voor Wetenschappelijk Onderzoek
Award Identifier / Grant number: 639.032.528
Funding statement: The author was supported by the NWO Vidi grant “A Hecke algebra approach to the local Langlands correspondence” (nr. 639.032.528).
Appendix A Appendix: Filtration of U der
In this section, we fix some representatives for 𝐺-conjugacy classes of self-dual lattice sequences on 𝑉 and describe
A.1 The unramified case
We begin with the case where
The filtration
for all
The filtration
for all
Although, there is a lattice sequence, say
for
The filtration
A.2 The ramified case
Now, assume that
for all
for any
Acknowledgements
I want to thank Maarten Solleveld for many useful discussions and clarifications during the course of this work. I want to thank Shaun Stevens for answering some questions on his paper, for his interest, and other clarifications. I want to thank Peter Badea for suggesting some useful references. I want to thank Kam-Fai Geo Tam for helpful discussions.
Communicated by: Freydoon Shahidi
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