Cycles and Harmonic Forms on Locally Symmetric Spaces

DOI10.4153/CMB-1985-001-xzbMath0575.10022OpenAlexW2330460172MaRDI QIDQ3695337

John J. Millson

Publication date: 1985

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1985-001-x

zbMATH Keywords

theta functionsFourier coefficientsSchwartz functionsSiegel modular formslocally symmetric spacesliftingsWeil representationharmonic formstotally real number fieldsdual reductive pairsmetaplectic extensioncohomology classes for congruence subgroupsHowe operatorperiods of formsPoincaré duals of totally geodesic cyclesunit groups of quadratic forms

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Discrete subgroups of Lie groups (22E40) Theta series; Weil representation; theta correspondences (11F27) Automorphic functions in symmetric domains (32N15)

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