Compact Simple Lie Groups and Their C-, S-, and E-Transforms

2005/12/09 by Jiri Patera, J. Patera · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Digital Filter Design and Implementation #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #math-ph #math.GR #math.MP

paper · pdf · doi:10.3842/sigma.2005.025

published as SIGMA 1 (2005), 025, 6 pages · Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

arxiv created 2005/12/09 · openalex publication_date 2005/12/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

New continuous group transforms, together with their discretization over a lattice of any density and admissible symmetry, are defined for a general compact simple Lie groups of rank 2 n < . Rank 1 transforms are known. Rank 2 exposition of C-and S-transforms is in the literature. The E-transforms appear here for the first time.

Citations

• Orthogonality within the Families of C-, S-, and E-Functions of Any Compact Semisimple Lie Group
• E-Orbit Functions

Cited by

• Antisymmetric Orbit Functions
• Orthogonality within the Families of C-, S-, and E-Functions of Any Compact Semisimple Lie Group
• Orbit Functions