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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.21165 |
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Table of Contents:
- Let $\mathfrak{o}_2$ be a finite principal ideal local ring of length 2. For a representation $π$ of $GL_{4}(\mathfrak{o}_2)$, the degenerate Whittaker space $π_{N, ψ}$ is a representation of $GL_2(\mathfrak{o}_2)$. We describe $π_{N, ψ}$ explicitly for an irreducible strongly cuspidal representation $π$ of $GL_4(\mathfrak{o}_2)$. This description verifies a special case of a conjecture of Prasad. We also prove that $π_{N, ψ}$ is a multiplicity free representation.