Symmetry is one of the most important concepts in mathematics and physics. Emerging from the 2021 LMS-Bath Summer School, this book provides Ph.D. students and young researchers with some of the essential tools for the advanced study of symmetry. Illustrated with numerous examples, it explores some of the most exciting interactions between Dirac operators, K-theory and representation theory of real reductive groups. The final chapter provides a self-contained account of the representation theory of p-adic groups, from the very basics to an advanced perspective, with many arithmetic aspects.
                                
                                Les mer
                              
                                  List of contributors; Preface; 1. Group C*-algebras, C*-correspondences and K-Theory Bram Mesland and Mehmet Haluk Şengün; 2. Tempered representations of semisimple Lie groups Peter Hochs; 3. Dirac operators and representation theory Hang Wang; 4. Representation theory of p-adic reductive groups Anne-Marie Aubert; Index.
                                
                                Les mer
                              
                                                          Detailed lecture notes covering applications of C*-algebras and K-theory to the representation theory of reductive real and p-adic groups.
                                                      
 
                                              Produktdetaljer
ISBN
                    
            9781009201506
      
                  Publisert
                     2024-11-28 
                  Utgiver
                    Cambridge University Press
                  Vekt
                     330 gr
                  Høyde
                     228 mm
                  Bredde
                     153 mm
                  Dybde
                     12 mm
                  Aldersnivå
                     UP, 05
                  Språk
                    
  Product language
              Engelsk
          Format
                    
  Product format
              Heftet
          Antall sider
                     224
                  