Abstract
Let \(\widehat{G}\) be a spin group over a locally compact non-archimedean local field F of odd residual characteristic. When F has characteristic zero we define \(\beta \)-extensions of the semisimple characters for \(\widehat{G}\). Then we contruct cuspidal types for many new supercuspidal representations of \(\widehat{G}\).
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Acknowledgments
The author is grateful to Corinne Blondel for having suggested him this approach to study the supercuspidal representations of p-adic Spin groups. The author would also like to thank Corinne Blondel, Shaun Stevens, Vincent Sécherre, Bertrand Lemaire and Paul Broussous for their support, advice, and interest in this work at various times.
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Van Ngo, D. Beta extensions and cuspidal types for p-adic spin groups. manuscripta math. 152, 513–531 (2017). https://doi.org/10.1007/s00229-016-0869-4
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DOI: https://doi.org/10.1007/s00229-016-0869-4