Spherical inversion for a small K-type on the split real Lie group of type G₂

2018/12/21 by Hiroshi Oda, Oda, Hiroshi, Nobukazu Shimeno +1
Mathematics · Physics and Astronomy · #22E45 #43A90 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1812.08963

openalex publication_date 2018/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an explicit formula for the Harish-Chandra c-function for a small K-type on a split real Lie group of type G₂. As an application we give an explicit formula for spherical inversion for this small K-type.

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