# Cuspidal irreducible representations of quaternionic forms of p-adic classical groups for odd p

@article{Skodlerack2019CuspidalIR, title={Cuspidal irreducible representations of quaternionic forms of p-adic classical groups for odd p}, author={Daniel Skodlerack}, journal={arXiv: Representation Theory}, year={2019} }

Given a quaternionic form G of a p-adic classical group ($p$ odd) we classify all cuspidal irreducible complex representations of G. It is a straight forward generalization of the classification in the p-adic classical group case. We prove two theorems: At first: Every irreducible cuspidal representation of G is induced from a cuspidal type, i.e. from a certain irreducible representation of a compact open subgroup of G, constructed from a beta-extension and a cuspidal representation of a finite…

## 2 Citations

Comparison of Bushnell-Kutzko and Yu's constructions of supercuspidal representations

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We compare precisely and explicitly Bushnell-Kutzko and Yu's constructions of supercuspidal representations. At the end, we draw conclusions and ask a natural question about the existence of a…

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We investigate the irreducible cuspidal $C$-representations of a reductive $p$-adic group $G$ over a field $C$ of characteristic different from $p$. When $C$ is algebraically closed, for many groups…

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