Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Vol. 42, No. 1, pp. 59-69 (2001)

Hecke Operators on the $q$-Analogue of Group Cohomology

Min Ho Lee

Department of Mathematics, University of Northern Iowa, Cedar Falls, IA 50614, U.S.A., e-mail: lee@math.uni.edu

Abstract: We construct the $q$-analogue of a certain class of group cohomology and introduce the action of Hecke operators on such cohomology. We also show that such an action determines a representation of a Hecke ring in each of the associated group cohomology spaces.

Classification (MSC2000): 20G10, 11F60; 11F75, 18G99

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