Work

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

Year: 2026

Type: article

Abstract: We prove Howe duality for an exceptional theta correspondence.To that end, we relate the K -types of corresponding representations by exploiting a pair of see-saw identities.

Source: Pacific Journal of Mathematics

DOI: 10.2140/pjm.2026.342.387

Author: Gordan Savin

Institution: University of Utah

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: Hrvatska Zaklada za Znanost

Award: Spaces of Modular and Automorphic Forms and Representation Theory within the Framework of the Langlands program

OpenAlex ID: W4414487769

FWCI:

Cites: 10

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