Orthogonality within the families of C-, S-, and E-functions of any compact semisimple Lie group

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Authors: Moody, R.V., Patera, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146091
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Orthogonality within the families of C-, S-, and E-functions of any compact semisimple Lie group / R.V. Moody, J. Patera // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 23 назв. — англ.

The paper is about methods of discrete Fourier analysis in the context of Weyl group symmetry. Three families of class functions are defined on the maximal torus of each compact simply connected semisimple Lie group G. Such functions can always be restricted without loss of information to a fundamen...