Algebraic Combinatorics and the Monster Group
Cambridge University Press (Verlag)
978-1-009-33804-2 (ISBN)
Covering, arguably, one of the most attractive and mysterious mathematical objects, the Monster group, this text strives to provide an insightful introduction and the discusses the current state of the field. The Monster group is related to many areas of mathematics, as well as physics, from number theory to string theory. This book cuts through the complex nature of the field, highlighting some of the mysteries and intricate relationships involved. Containing many meaningful examples and a manual introduction to the computer package GAP, it provides the opportunity and resources for readers to start their own calculations. Some 20 experts here share their expertise spanning this exciting field, and the resulting volume is ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.
Alexander A. Ivanov earned his PhD degree in mathematics in 1984 from the Moscow Physical Technical Institute. He was a researcher at Institute for System Analysis and received Doctor of Science degree from Moscow State University in 2000. Since 1995, Professor Ivanov has taught at the Imperial College London. He gave an invited talk at 1990 ICM in Kyoto and authored five monographs.
Part I. The Monster: 1. Lectures on vertex algebras Atsushi Matsuo; 2. 3-Transposition groups arising in vertex operator algebras Hiroshi Yamauchi; 3. On holomorphic vertex operator algebras of central charge 24 Ching Hung Lam; 4. Maximal 2-local subgroups of the Monster and Baby Monster Ulrich Meierfrankenfeld and Sergey Shpectorov; 5. The future of Majorana theory II Alexander A. Ivanov; Part II. Algebraic Combinatorics: 6. The geometry of Freudenthal-Tits magic square Hendrik Van Maldegham; 7. On generation of polar Grassmanisns Ilaria Cardinali, Lucca Giuzzi and Antonio Pasini; 8. Ovoidal maximal subspaces of polar spaces Antonio Pasini and Hendrik Van Maldegham; 9. On the behaviour of regular unipotent elements from subsystem subgroups of type A_n with special highest weights Tatsiana S. Busel and Irina D. Suprunenko; 10. Some remarks on the parameter c_2 for a distance-regular graph with classical parameters Jack H. Koolen, Jongyook Park and Qianqian Yang; 11. Distance-regular graphs, the subconstituent algebra, and the q-polynomial property Paul Terwilliger; 12. Terwilliger algebras and the Weisfeiler-Leman stabilization Tatsuro Ito; 13. Extended doubling of self-complementary strongly regular graphs and an analogue for digraphs Takuya Ikuta and Akihiro Munemasa; 14. Using GAP package for research in graph theory, design theory and finite geometries Leonard H. Soicher.
| Erscheinungsdatum | 19.08.2023 |
|---|---|
| Reihe/Serie | London Mathematical Society Lecture Note Series |
| Zusatzinfo | Worked examples or Exercises |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 830 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
| ISBN-10 | 1-009-33804-8 / 1009338048 |
| ISBN-13 | 978-1-009-33804-2 / 9781009338042 |
| Zustand | Neuware |
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