K-Theory and Representation Theory
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.
- Includes a self-contained account of the representation theory of p-adic groups, from the very basics to an advanced perspective, illustrated with numerous examples
- Provides a high-quality exposition of the interplay between Dirac operators, representation theory and K-theory
- Features a friendly exposition of C
- -algebras associated to groups, C
- -correspondences and K-theory with examples of how they relate to representation theory of groups
Product details
No date availablePaperback
9781009201506
224 pages
228 × 153 × 12 mm
0.33kg
Table of Contents
- 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.