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Item Details
| Title:
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SYMMETRY BREAKING FOR REPRESENTATIONS OF RANK ONE ORTHOGONAL GROUPS
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| By: |
Toshiyuki Kobayashi, Birgit Speh |
| Format: |
Paperback |
| List price:
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£71.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
147041922X |
| ISBN 13: |
9781470419226 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
30 October, 2015 |
| Series: |
Memoirs of the American Mathematical Society |
| Pages: |
112 |
| Description: |
The authors give a complete classification of intertwining operators (symmetry breaking operators) between spherical principal series representations of $G=O(n+1,1)$ and $G'=O(n,1)$. They construct three meromorphic families of the symmetry breaking operators, and find their distribution kernels and their residues at all poles explicitly. |
| Synopsis: |
The authors give a complete classification of intertwining operators (symmetry breaking operators) between spherical principal series representations of $G=O(n+1,1)$ and $G'=O(n,1)$. 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 $G$ and $G'$ satisfy, and use them to determine the symmetry breaking operators between irreducible composition factors of the spherical principal series representations of $G$ and $G'$. Some applications are included. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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