Dimension of spaces of vector valued automorphic forms on the unitary group SU(2,1) (Q1079591)
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scientific article; zbMATH DE number 3963940
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dimension of spaces of vector valued automorphic forms on the unitary group SU(2,1) |
scientific article; zbMATH DE number 3963940 |
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Dimension of spaces of vector valued automorphic forms on the unitary group SU(2,1) (English)
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1984
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The author extends a dimension formula of \textit{L. Cohn} [Mem. Am. Math. Soc. 158 (1975; Zbl 0299.32030)] for spaces of automorphic forms on a certain two-dimensional complex domain to the case of an imaginary quadratic field of class number one, an arbitrary irreducible representation, and \(\Gamma\) (n) a principal congruence subgroup of \(\Gamma\) (1). The method used is similar to those of H. Shimizu and Y. Morita.
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vector valued holomorphic automorphic forms
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dimension formula
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spaces of automorphic forms
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imaginary quadratic field
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