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arXiv · 2508.12534

Howe duality for the dual pair $SL_2(\mathbb R) \times F_{4,1}$: a ping-pong of $K$-types

Gordan Savin
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Abstract

We prove Howe duality for an exceptional theta correspondence. To that end we exploit a pair of see-saw identities and relate the $K$-types of corresponding representations.

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BibTeXRIS

Gordan Savin. 2025-08-17. Howe duality for the dual pair $SL_2(\mathbb R) \times F_{4,1}$: a ping-pong of $K$-types. https://doi.org/10.2140/pjm.2026.342.387

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