Twisted Spherical Functions on the Finite Poincaré Upper Half-Plane

✍ Scribed by Jorge Soto-Andrade; Jorge Vargas

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 180 KB
• Volume: 248
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.2001.9042

✦ Synopsis

In this note we compute explicit formulae for the twisted spherical functions for the finite analogue of (the double cover of) the classical Poincaré upper half-plane, in any characteristic, and we obtain a uniform description for them resembling the one given by [Curtis (1993, J. Algebra 157, 517-533)] for the characters of the commuting algebra of Gel'fand-Graev representation. We also deduce some character identities.  2002 Elsevier Science (USA)