Symmetry Breaking for Representations of Rank One Orthogonal Groups II
- ISBN-10
- 981132901X
- ISBN-13
- 9789811329012
- Category
- Science
- Pages
- 344
- Language
- English
- Published
- 2018-12-27
- Publisher
- Springer
- Authors
- Toshiyuki Kobayashi, Birgit Speh
Description
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.
Get the book
Similar books
-
Chemistry: An Introduction to General, Organic and Biological Chemistry
By Karen C. TimberlakeThis new edition introduces more problem-solving strategies and new conceptual and challenge problems. Also, each Chapter Review has been enhanced with Learning Goals to reinforce the mastery of concepts for students.
-
Chemistry: An Introduction to General, Organic, and Biological Chemistry
By Karen TimberlakeThis laboratory manual contains 42 experiments for the standard sequence of topics in general, organic, and biological chemistry.
-
Basic Chemistry
By Karen C. TimberlakeThe book guides students through basic chemistry problem solving with engaging visuals and a focus on developing the math skills necessary to be successful in the course.
-
General, Organic, and Biological Chemistry: Structures of Life, eBook, Global Edition
By Karen C. TimberlakeThe full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either ...
-
Basic Chemistry
By Karen C. Timberlake, William E. TimberlakeBasic Chemistry
-
Basic Chemistry, Books a la Carte Edition
By Karen C. TimberlakeBasic Chemistry, Books a la Carte Edition
-
Essential Laboratory Manual for General, Organic and Biological Chemistry
By Karen C. TimberlakeEssential Laboratory Manual for General, Organic and Biological Chemistry
-
Basic Chemistry, Global Edition
By Karen C. Timberlake, Bill TimberlakeThe main objective in writing this text is to make the study of chemistry an engaging and a positive experience for students by relating the structure and behaviour of matter to real life.
-
General, Organic, and Biological Chemistry: An Integrated Approach
By Karen C. Timberlake, Laura D. Frost, Todd S. DealThe eText pages look exactly like the printed text, and include powerful interactive and customization functions. This is the product access code card for MasteringChemistry with Pearson eText and does not include the actual bound book.
-
Chemistry: An Introduction to General, Organic, and Biological Chemistry
By Karen C. TimberlakeHealth, Environmental, and Green Chemistry Notes throughout the text relate chemistry chapters to real-life topics in health, the environment, and medicine that are interesting and motivating to students.