Free Download Stable Klingen Vectors and Paramodular Newforms (Lecture Notes in Mathematics) by Jennifer Johnson-Leung, Brooks Roberts, Ralf Schmidt
English | December 27, 2023 | ISBN: 3031451767 | 380 pages | MOBI | 77 Mb
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.
