Dimension formula of cusp form spaces on half-spaces of quaternions

Authors
He, Y Lu, HW
Citation
Y. He et Hw. Lu, Dimension formula of cusp form spaces on half-spaces of quaternions, SCI CHINA A, 42(10), 1999, pp. 1025-1031
Citations number
13
Categorie Soggetti
Multidisciplinary
Journal title
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN journal
10016511 → ACNP
Volume
42
Issue
10
Year of publication
1999
Pages
1025 - 1031
Database
ISI
SICI code
1001-6511(199910)42:10<1025:DFOCFS>2.0.ZU;2-A
Abstract
A dimension formula for the spaces of cusp forms defined on quaternionic ha lf-spaces of degree two is obtained by Selbeg trace formula, and the contri butions of some conjugacy classes are calculated. Some results on the class ification of the conjugacy classes of modular group are obtained.