| 書目名稱 | Conformal Symmetry Breaking Operators for Differential Forms on Spheres |
| 編輯 | Toshiyuki Kobayashi,Toshihisa Kubo,Michael Pevzner |
| 視頻video | http://file.papertrans.cn/236/235421/235421.mp4 |
| 概述 | Introduces a cutting-edge method for effective construction of symmetry breaking operators for branching rules in representation theory.Includes hot topics of conformal geometry and global analysis as |
| 叢書名稱 | Lecture Notes in Mathematics |
| 圖書封面 |  |
| 描述 | .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.) = (.S.n.,?.S.n.-1.)..The authors give a complete classification of all such conformally covariant differential operators, and find their explicit formul? 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?.C.∞.-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 |
| 出版日期 | Book 2016 |
| 關鍵詞 | Symmetry breaking operators; branching law; F-method; conformal geometry; Verma module; Lorentz group; Lie |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-10-2657-7 |
| isbn_softcover | 978-981-10-2656-0 |
| isbn_ebook | 978-981-10-2657-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer Nature Singapore Pte Ltd. 2016 |
|Archiver|手機版|小黑屋|
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