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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2006
• ISSN: 1815-0659
• Hauptverfasser: Moody, R.V., Patera, J.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2006
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/146091
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...