A note on the Howe Duality conjecture for symplectic-orthogonal and unitary pairs
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866916862799904768 |
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| author | Droschl, Johannes |
| author_facet | Droschl, Johannes |
| contents | In this short note we expand on recent results on the degenerate principle series $I(s,χ)$ of classical groups associated to $s\in \mathbb{C}$ and a quadratic character $χ$. In particular, we strengthen the result for $s\in \mathbb{R}_{\ge 0}$, which allows us to give as a corollary a new proof of the Howe duality conjecture for symplectic-orthogonal and unitary pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11551 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on the Howe Duality conjecture for symplectic-orthogonal and unitary pairs Droschl, Johannes Representation Theory 22E46, 22E50 In this short note we expand on recent results on the degenerate principle series $I(s,χ)$ of classical groups associated to $s\in \mathbb{C}$ and a quadratic character $χ$. In particular, we strengthen the result for $s\in \mathbb{R}_{\ge 0}$, which allows us to give as a corollary a new proof of the Howe duality conjecture for symplectic-orthogonal and unitary pairs. |
| title | A note on the Howe Duality conjecture for symplectic-orthogonal and unitary pairs |
| topic | Representation Theory 22E46, 22E50 |
| url | https://arxiv.org/abs/2502.11551 |