Compact Matrix Quantum Groups and Their Combinatorics
Compact Matrix Quantum Groups and Their Combinatorics
An organised step-by-step introduction to the theory of compact quantum groups, starting with examples coming from quantum physics, which stems from the basic undergraduate mathematics curriculum. Introducing more abstract concepts along the way when needed, the reader is led from the fundamentals of the theory to recent research results. The emphasis is put on the combinatorics underlying compact quantum groups, which is very elementary to describe but leads to profound results. This book includes many exercises to help students work through new concepts and ideas and consolidate their understanding. The theory itself is illustrated by an array of examples, some related to other fields of Mathematics such as free probability theory or graph theory. The book is intended for graduate students, motivated undergraduate students and researchers.
- Only requires knowledge from undergraduate pure mathematics curriculum: Making the theory accessible to readers without advanced training in topics close to the subject
- The contents start from elementary facts and end with current research-level results: Enabling the reader to enter a new research topic and be able to access the current scientific literature
- Proceeds step-by-step, using many examples and exercises: Easy to follow structure with examples and exercises to ensure understanding
Product details
July 2023Paperback
9781009345699
300 pages
228 × 151 × 17 mm
0.45kg
Available
Table of Contents
- Preface. Part I. Getting Started:
- 1. Introducing quantum groups
- 2. Representation theory
- Part II. Partitions Enter The Picture:
- 3. Partition quantum groups
- 4. The representation theory of partition quantum groups
- 5. Measurable and topological aspects
- Part III. Further Examples And Applications:
- 6. A unitary excursion
- 7. Further examples
- 8. Back to the game
- Appendix A
- Appendix B
- Appendix C.
