Symmetry Breaking for Representations of Rank One Orthogonal Groups II

• Main Authors: Kobayashi, Toshiyuki (Author, http://id.loc.gov/vocabulary/relators/aut), Speh, Birgit (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Lecture Notes in Mathematics, 2234
• Subjects: Mathematical physics.; Topological groups.; Lie groups.; Number theory.; Differential geometry.; Partial differential equations.; Global analysis (Mathematics).; Manifolds (Mathematics).; Mathematical Physics.; Topological Groups, Lie Groups.; Number Theory.; Differential Geometry.; Partial Differential Equations.; Global Analysis and Analysis on Manifolds.

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 resea...

Table of Contents:

• 1 Introduction
• 2 Review of principal series representations
• 3 Symmetry breaking operators for principal series representations
• general theory
• 4 Symmetry breaking for irreducible representations with infinitesimal character p
• 5 Regular symmetry breaking operators
• 6 Differential symmetry breaking operators
• 7 Minor summation formul related to exterior tensor ∧i(Cn)
• 8 More about principal series representations
• 9 Regular symmetry breaking operators eAi;j;;from I(i; ) to J"(j; )
• 10 Symmetry breaking operators for irreducible representations with innitesimal character p
• 11 Application I
• 12 Application II
• 13 A conjecture
• 14 Appendix I
• 15 Appendix II
• List of Symbols
• Index.