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Mixed cusp forms and parabolic cohomology

Part of: Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  09 April 2009

Min Ho Lee
Min Ho Lee
Affiliation:
Department of Mathematics University of Northern Iowa, Cedar Falls Iowa 50614, USA, e-mail: [email protected]
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Abstract

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Let Sk, l(Γ, ω, χ) be the space of mixed cusp forms of type (k, l) associated to a Fuchsian group Γ, a holomorphic map ω: ℋ → ℋ of the upper half plane into itself and a homomorphism χ: Γ → SL(2, R) such that ω and χ are equivariant. We construct a map from Sk, l(Γ, ω, χ) to the parabolic cohomology space of Γ with coefficients in some Γ-module and prove that this map is injective.

MSC classification

Secondary: 11F11: Holomorphic modular forms of integral weight 11F30: Fourier coefficients of automorphic forms
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 62 , Issue 3 , June 1997 , pp. 279 - 289
Copyright
Copyright © Australian Mathematical Society 1997

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