|
Login to ask the library to add a book.
|
|
Active Filter Settings
No Active Filters
|
|
|
|
|
first record
| previous record
| next record
| last record
|
full | items(1) | marc
|
Record 50 of 324
|
|
| |
Total Requests 0 Unsatisfied Requests 0
|
|
You searched IISERK - Special Collections: Maps
|
| Request |
|
|
Call Number
|
510 LNK4
|
|
Author
|
Kobayashi, Toshiyuki, 1962- author.
|
|
Title
|
Conformal symmetry breaking operators for differential forms on spheres / Toshiyuki Kobayashi, Toshihisa Kubo, Michael Pevzner.
|
|
Material Info.
|
ix, 192 pages : illustrations ; 23 cm.
|
|
Series
|
Lecture notes in mathematics, 0075-8434 ; 2170
|
|
Series
|
Lecture notes in mathematics (Springer-Verlag) ; 2170.
|
|
Summary Note
|
This work is the first systematic study of all possible conformally covariant differential operators transforming differential forms on a Riemannian manifold X into those on a submanifold Y with focus on the model space (X, Y) = (Sn, Sn-1). The authors give a complete classification of all such conformally covariant differential operators, and find their explicit formulae in the flat coordinates in terms of basic operators in differential geometry and classical hypergeometric polynomials. Resulting families of operators are natural generalizations of the Rankin-Cohen brackets for modular forms and Juhl's operators from conformal holography. The matrix-valued factorization identities among all possible combinations of conformally covariant differential operators are also established. The main machinery of the proof relies on the "F-method" recently introduced and developed by the authors. It is a general method to construct intertwining operators between C8-induced representations or to find singular vectors of Verma modules in the context of branching rules, as solutions to differential equations on the Fourier transform side. The book gives a new extension of the F-method to the matrix-valued case in the general setting, which could be applied to other problems as well. This book offers a self-contained introduction to the analysis of symmetry breaking operators for infinite-dimensional representations of reductive Lie groups. This feature will be helpful for active scientists and accessible to graduate students and young researchers in differential geometry, representation theory, and theoretical physics.
|
|
Notes
|
Includes bibliographical references (pages 185-186) and index.
|
|
ISBN
|
9789811026560
|
|
ISBN
|
9811026564
|
|
Subject
|
Differential operators.
|
|
Subject
|
Conformal geometry.
|
|
Subject
|
Symmetry (Mathematics)
|
|
Subject
|
Geometry, Differential.
|
|
Added Entry
|
Kubo, Toshihisa, author.
|
|
Added Entry
|
Pevzner, Michael, 1971- author.
|
|
Date
|
Year, Month, Day:01702281
|
| Purchase Order Status |
| PO ID |
Line Number |
Destination |
Order Quantity |
Received Quantity |
Latest Order Modification Date |
Last Received Date |
| 281 |
18 |
The Librarian |
1 |
1 |
11-29-2016 12:44 |
2-22-2017 12:20 |
|
|
|
|
