Construction of cohomology of discrete groups

Authors:
Y. L. Tong and S. P. Wang

Journal:
Trans. Amer. Math. Soc. **306** (1988), 735-763

MSC:
Primary 32N15; Secondary 11F27, 11F55, 22E40

MathSciNet review:
933315

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Abstract: A correspondence between Hermitian modular forms and vector valued harmonic forms in locally symmetric spaces associated to is constructed and also shown in general to be nonzero. The construction utilizes Rallis-Schiffmann type theta functions and simplified arguments to circumvent differential geometric calculations used previously in related problems.

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DOI:
https://doi.org/10.1090/S0002-9947-1988-0933315-8

Article copyright:
© Copyright 1988
American Mathematical Society