ADE
patterns in mathematics
$164.81
- Hardcover
198 pages
- Release Date
31 July 2025
Summary
The Unexpected Mathematics of ADE
John McKay’s groundbreaking observations reveal a surprising link between the “double covers” of regular polyhedra groups, a concept dating back to ancient Greece, and the exceptional Lie algebras, which emerged in the late nineteenth century. This connection hinges on specific diagrams, the ADE diagrams, that hold multiple interpretations. They function as quivers linked to the groups and as Dynkin diagrams representing the root systems of Lie alge…
Book Details
| ISBN-13: | 9781009335966 |
|---|---|
| ISBN-10: | 1009335960 |
| Series: | London Mathematical Society Student Texts |
| Author: | Peter J. Cameron, Pierre-Philippe Dechant, Yang-Hui He, John McKay |
| Publisher: | Cambridge University Press |
| Imprint: | Cambridge University Press |
| Format: | Hardcover |
| Number of Pages: | 198 |
| Release Date: | 31 July 2025 |
| Weight: | 0g |
About The Author
Peter J. Cameron
Peter J. Cameron is currently a part-time professor at the University of St Andrews. He was chair of the British Combinatorial Committee for nearly thirty years and won the Junior and Senior Whitehead Prizes of the LMS. Cameron has been fascinated by ADE since using it to prove a conjecture of Alan Hoffman.
Pierre-Philippe Dechant is a Curriculum Redefined Lecturer in Mathematics and Data Science at the University of Leeds. He is a Senior Fellow of the Higher Education Academy, a Fellow of the Institute of Physics and a Fellow of the Institute for Mathematics and its Applications.
Yang-Hui He is a Fellow at the London Institute and tutor in mathematics at Merton College, Oxford. He also holds honorary professorships at the Universities of London and Nankai. Yang works on geometry, number theory and string theory, and is a pioneer of AI-assisted mathematics.
John McKay was a British-Canadian Mathematician and Professor Emeritus in the Department of Mathematics and Statistics at Concordia University before his death in 2022. He was elected a Fellow of the Royal Society of Canada in 2000, and in 2003 won the CRM-Fields Prize for Mathematics. His groundbreaking contributions include Moonshine, the ADE correspondence and the McKay conjecture on group representations.
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