Beschreibung:
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.
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.