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On the Kronecker pairing for mixed cusp forms

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Abstract

LetG⊃PSL(2,R) be a Fuchsian group of the first kind with no elements of finite order, and letS 2m V be the 2m-fold symmetric power of the standard representationV ofSL(2,R) on C2. We determine the value of the Kronecker pairing between the canonical image of a mixed cusp formf of type (2,2m) inH 1(G, S 2m V) and a cycleg ⊗Q m g inH 1 (G, (S 2m V)*) for eachg inG, whereQ m g is an element of (S 2m V)* associated tog, m and a monodromy representation ofG.

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  1. Department of Mathematics, University of Northern Iowa, 50614, Cedar Falls, Iowa

    Min Ho Lee

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  1. Min Ho Lee
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Lee, M.H. On the Kronecker pairing for mixed cusp forms. Manuscripta Math 71, 35–44 (1991). https://doi.org/10.1007/BF02568392

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  • DOI: https://doi.org/10.1007/BF02568392

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