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

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.

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Publication Details

Journal
Pacific Journal of Mathematics
Published
2026-04-23
DOI
https://doi.org/10.2140/pjm.2026.342.387
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
0.00

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article

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

Gordan Savin
Pacific Journal of Mathematics
Advanced Algebra and Geometry
article

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

Gordan Savin
article en

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.

Pacific Journal of MathematicsVol. 342(2)
University of Utah (US)
Hrvatska Zaklada za Znanost
Openalex Percentile: Top 96%
Advanced Algebra and Geometry
DOIOpen Access PDFOpenAlex
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Howe duality for the dual pair SL2(ℝ) ×F4,1 : aping pong of K-types — Gordan Savin · Pacific Journal of Mathematics (2026) | TGRS Research Map | TGRS