Symmetry Breaking for Representations of Rank One Orthogonal Groups
Oct 2015 · American Mathematical Soc.
Ebook
112
Pages
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About this ebook
The authors give a complete classification of intertwining operators (symmetry breaking operators) between spherical principal series representations of and . They construct three meromorphic families of the symmetry breaking operators, and find their distribution kernels and their residues at all poles explicitly. Symmetry breaking operators at exceptional discrete parameters are thoroughly studied.
The authors obtain closed formulae for the functional equations which the composition of the symmetry breaking operators with the Knapp-Stein intertwining operators of and satisfy, and use them to determine the symmetry breaking operators between irreducible composition factors of the spherical principal series representations of and . Some applications are included.
About the author
Toshiyuki Kobayashi, University of Tokyo, Japan, and Birgit Speh, Cornell University, Ithaca, NY
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