September 28, 2025Open Access

Howe duality for the dual pair SL₂ (R) F₄, ₁: a ping-pong of K-types

Key Points

Demonstrates how $K$-types relate under Howe duality for the pair of groups.
Proves the exceptional theta correspondence through advanced pair of identities.
Utilizes see-saw identities to understand the representation connections.
Findings suggest deeper insights into representation theory and dual pairs.

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.

KI fragen

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Cite This Study

Gordan Savin (Sun,) studied this question.

synapsesocial.com/papers/68d913a34ddcf71ba560b8c6 https://doi.org/https://doi.org/10.48550/arxiv.2508.12534

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