Hecke operators and Q-groups associated to self-adjoint homogeneous cones

Authors

PE Gunnells, University of Massachusetts - AmherstFollow
M McConnell

Publication Date

2003

Journal or Book Title

JOURNAL OF NUMBER THEORY

Abstract

Let G be a reductive algebraic group associated to a self-adjoint homogeneous cone defined over , and let ΓG be an appropriate neat arithmetic subgroup. We present two algorithms to compute the action of the Hecke operators on for all i. This simultaneously generalizes the modular symbol algorithm of Ash-Rudolph (Invent. Math. 55 (1979) 241) to a larger class of groups, and proposes techniques to compute the Hecke-module structure of previously inaccessible cohomology groups.

Comments

The published version is located at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WKD-487KJN6-2&_user=1516330&_coverDate=05%2F31%2F2003&_rdoc=1&_fmt=high&_orig=gateway&_origin=gateway&_sort=d&_docanchor=&view=c&_searchStrId=1673765470&_rerunOrigin=google&_acct=C000053443&_version=1&_urlVersion=0&_userid=1516330&md5=bfc4dbea85ee8e2ac67c4460a4ac6d06&searchtype=a

Pages

46-71

Volume

100

Issue

1

Recommended Citation

Gunnells, PE and McConnell, M, "Hecke operators and Q-groups associated to self-adjoint homogeneous cones" (2003). JOURNAL OF NUMBER THEORY. 405.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/405