Howe duality for the dual pair SL2(ℝ) ×F4,1 : a ping pong of K-types
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.
Fields of Study & Subjects
Advanced Algebra and Geometry
Algebraic Geometry and Number Theory
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Pacific Journal of Mathematics
- Volume
- 342
- Issue
- 2
- Pages
- 387–394
- Publication date
- 23 April 2026
- Language
- EN