Algebraic Combinatorics and the Monster Group

Herausgeber: Ivanov, Alexander A

• Broschiertes Buch

Produktbeschreibung

This text provides the current state of knowledge on, arguably, one of the most attractive and mysterious mathematical objects: the Monster group. Some 20 experts here share their expertise in this exciting field. Ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.

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Produktdetails

• London Mathematical Society Lecture Note Series
• Verlag: Cambridge University Press
• Seitenzahl: 582
• Erscheinungstermin: 19. Oktober 2023
• Englisch
• Abmessung: 226mm x 148mm x 32mm
• Gewicht: 846g
• ISBN-13: 9781009338042
• ISBN-10: 1009338048
• Artikelnr.: 68100956

Inhaltsangabe

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.