书目名称 | Symmetry Breaking for Representations of Rank One Orthogonal Groups II |
编辑 | Toshiyuki Kobayashi,Birgit Speh |
视频video | http://file.papertrans.cn/884/883957/883957.mp4 |
概述 | Introduces a new method to construct and classify matrix-valued symmetry breaking operators in representation theory.Includes hot topics of automorphic forms and conformal geometry as applications of |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | This work provides the first classification theory of matrix-valued symmetry breaking operators from principal series representations of a reductive group to those of its subgroup..The study of .symmetry breaking operators. (intertwining operators for restriction) is an important and very active research area in modern representation theory, which also interacts with various fields in mathematics and theoretical physics ranging from number theory to differential geometry and quantum mechanics..The first author initiated a program of the general study of symmetry breaking operators. The present book pursues the program by introducing new ideas and techniques, giving a systematic and detailed treatment in the case of orthogonal groups of real rank one, which will serve as models for further research in other settings..In connection to automorphic forms, this work includes a proof for a multiplicity conjecture by Gross and Prasad for tempered principal series representations in the case (.SO.(.n. + 1, 1), .SO.(.n., 1)). The authors propose a further multiplicity conjecture for nontempered representations..Viewed from differential geometry, this seminal work accomplishes the classifica |
出版日期 | Book 2018 |
关键词 | Symmetry breaking operator; branching law; Gross-Prasad conjecture; automorphic form; conformal geometry |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-13-2901-2 |
isbn_softcover | 978-981-13-2900-5 |
isbn_ebook | 978-981-13-2901-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer Nature Singapore Pte Ltd. 2018 |