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Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
(2010)
Abstract
We consider several questions about restriction of representations of
classical and metaplectic groups over local and global fields to subgroups,
extending considerably the scope of the earlier work on $SO(n),SO(n-1)$. This
includes Bessel and Fourier-Jacobi models too. We formulate several conjectures
about these restriction problems inv...More
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