Symmetry Breaking for Representations of Rank One Orthogonal Groups II is popular PDF and ePub book, written by Toshiyuki Kobayashi in 2018-12-27, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Symmetry Breaking for Representations of Rank One Orthogonal Groups II can be Read Online from any device for your convenience.
Symmetry Breaking for Representations of Rank One Orthogonal Groups II Book PDF Summary
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 classification of all conformally covariant operators transforming differential forms on a Riemanniann manifold X to those on a submanifold in the model space (X, Y) = (Sn, Sn-1). Functional equations and explicit formulæ of these operators are also established.This book offers a self-contained and inspiring 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 representation theory, automorphic forms, differential geometry, and theoretical physics.
Detail Book of Symmetry Breaking for Representations of Rank One Orthogonal Groups II PDF
- Author : Toshiyuki Kobayashi
- Release : 27 December 2018
- Publisher : Springer
- ISBN : 9789811329012
- Genre : Science
- Total Page : 344 pages
- Language : English
- PDF File Size : 16,8 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Symmetry Breaking for Representations of Rank One Orthogonal Groups II by Toshiyuki Kobayashi, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.
