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Symmetry Breaking for Representations of Rank One Orthogonal Groups (Memoirs of the American Mathematical Society) - Softcover
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.
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About the Author
Toshiyuki Kobayashi, University of Tokyo, Japan.
Birgit Speh, Cornell University, Ithaca, NY, USA.
"About this title" may belong to another edition of this title.
- PublisherAmerican Mathematical Society
- Publication date2015
- ISBN 10 147041922X
- ISBN 13 9781470419226
- BindingPaperback
- Number of pages112
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Symmetry Breaking for Representations of Rank One Orthogonal Groups (Memoirs of the American Mathematical Society)
Published by
Amer Mathematical Society, 2015
ISBN 10: 147041922X
ISBN 13: 9781470419226
Used
Paperback
Seller: Book House in Dinkytown, IOBA, Minneapolis, MN, U.S.A.
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Paperback. Condition: Very Good. Very good paperback. Spine is uncreased, binding tight and sturdy; text also very good. Shelfwear is very minor. NOT an ex-library copy, NO remainder mark, NOT a book club. Ships from Dinkytown in Minneapolis, Minnesota. Seller Inventory # 224933
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Symmetry Breaking for Representations of Rank One Orthogonal Groups (Memoirs of the American Mathematical Society)
Published by
Amer Mathematical Society 0, 1804
ISBN 10: 147041922X
ISBN 13: 9781470419226
Used
paperback
Seller: dsmbooks, Liverpool, United Kingdom
Seller rating 4 out of 5 stars
paperback. Condition: Very Good. Very Good. book. Seller Inventory # D7S9-1-M-147041922X-4
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Stock Image
Symmetry Breaking for Representations of Rank One Orthogonal Groups (Memoirs of the American Mathematical Society)
Published by
Amer Mathematical Society, 1804
ISBN 10: 147041922X
ISBN 13: 9781470419226
Used
Softcover
Seller: GF Books, Inc., Hawthorne, CA, U.S.A.
Seller rating 5 out of 5 stars
Condition: Very Good. Book is in Used-VeryGood condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear and contain very limited notes and highlighting. 0.79. Seller Inventory # 147041922X-2-3
Quantity: 1 available