Modular representations of \(\text{PGL}_ 2\) and automorphic forms for Shimura curves (Q1319236)
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scientific article; zbMATH DE number 549666
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Modular representations of \(\text{PGL}_ 2\) and automorphic forms for Shimura curves |
scientific article; zbMATH DE number 549666 |
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Modular representations of \(\text{PGL}_ 2\) and automorphic forms for Shimura curves (English)
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20 February 1995
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Let \(k\) be a local field. In this beautiful paper the author studies certain infinite dimensional representations constructed by Morita for \(\text{GL}_ 2 (k)\) via his integral theory of modular forms on the algebraic upper half plane (in particular, the theory of the ``\(p\)-adic Poisson kernel''). Applications are then given to \(p\)-adic properties of modular forms on Shimura curves.
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\(p\)-adic Poisson kernel
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infinite dimensional representations
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\(p\)-adic properties of modular forms on Shimura curves
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