में बचाया:
| मुख्य लेखकों: | , , , |
|---|---|
| स्वरूप: | Preprint |
| प्रकाशित: |
2025
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| विषय: | |
| ऑनलाइन पहुंच: | https://arxiv.org/abs/2512.13020 |
| टैग: |
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विषय - सूची:
- In this paper, we obtain an explicit formula for the theta correspondence of unipotent principal-series representations between an even orthogonal and a symplectic group or between general linear groups over a finite field. The formula is in terms of the Springer correspondence. Along the way we prove general results about module categories of Hecke categories arising from spherical varieties, and give a similar formula for the multiplicities of the unipotent principal series representations in the function space of the spherical variety in terms of relative Springer theory.