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math.RT2025
Translation functors, branching problems, and applications to the restriction of coherent cohomology of Shimura varieties
Michael Harris, Toshiyuki Kobayashi, Birgit Speh
We study properties of the restriction of discrete series representations of to and the corresponding symmetry breaking operators in $\operatorname{Hom}_{…
math.RT2025
How does the restriction of representations change under translations? A story for the general linear groups and the unitary groups
Toshiyuki Kobayashi, Birgit Speh
We present a new approach to symmetry breaking for pairs of real forms of . Translation functors are powerful tools for studying families…