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arXiv · 2502.11551

A note on the Howe Duality conjecture for symplectic-orthogonal and unitary pairs

Johannes Droschl
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Abstract

In this short note we expand on recent results on the degenerate principle series $I(s,\chi)$ of classical groups associated to $s\in \mathbb{C}$ and a quadratic character $\chi$. 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.

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BibTeXRIS

Johannes Droschl. 2025-02-17. A note on the Howe Duality conjecture for symplectic-orthogonal and unitary pairs. https://doi.org/10.1093/imrn%2Frnaf223

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