Stable Klingen Vectors and Paramodular Newforms EPUB
by Jennifer Johnson-Leung, Brooks Roberts, Ralf Schmidt
Part of the Lecture Notes in Mathematics series
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This book describes a novel approach to the study of Siegel modular forms of degree two with paramodular level. It introduces the family of stable Klingen congruence subgroups of GSp(4) and uses this family to obtain new relations between the Hecke eigenvalues and Fourier coefficients of paramodular newforms, revealing a fundamental dichotomy for paramodular representations. Among other important results, it includes a complete description of the vectors fixed by these congruence subgroups in all irreducible representations of GSp(4) over a nonarchimedean local field.
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- Format:EPUB
- Publisher:Springer Nature Switzerland
- Publication Date:27/12/2023
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- ISBN:9783031451775
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Information
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Download Now
- Format:EPUB
- Publisher:Springer Nature Switzerland
- Publication Date:27/12/2023
- Category:
- ISBN:9783031451775