Algebraic combinatorics and the Monster Group

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...

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Bibliographic Details
Other Authors: Ivanov, A. A. (Editor)
Format: eBook
Language:English
Published: Cambridge, United Kingdom ; New York, NY Cambridge University Press 2024
Series:London Mathematical Society lecture note series
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Table of Contents:
  • Lectures on vertex algebras / Atsushi Matsuo
  • 3-transposition groups arising in vertex operator algebra theory / Hiroshi Yamauchi
  • On holomorphic vertex operator algebras of central charge / Ching Hung Lam
  • Maximal 2-local subgroups of the monster and baby monster / U. Meierfrankenfeld and S. Shpectorov
  • The future of Majorana Theory II / A. A. Ivanov
  • The geometry of the Freudenthal : Tits magic square / Hendrik van Maldeghem
  • On the generation of polar Grassmannians / I. Cardinali, L. Giuzzi and A. Pasini
  • Ovoidal maximal subspaces of polar spaces / Antonio Pasini and Hendrik van Maldeghem
  • On the behaviour of regular unipotent elements from subsystem subgroups of type A(3) in irreducible representations of groups of type A(n) with special highest weights / Tatsiana S. Busel, Irina D. Suprunenko
  • Some remarks on the parameter c2 for a distance-regular graph with classical parameters / Jack H. Koolen, Jongyook Park and Qianqian Yang
  • Distance-regular graphs, the subconstituent algebra, and the q-polynomial property / Paul Terwilliger
  • Terwilliger algebras and the Weisfeiler-Leman stabilization / Tatsuro Ito
  • Extended double covers of non-symmetric association schemes of class 2 / Takuya Ikuta and Akihiro Munemasa
  • Using GAP packages for research in graph theory, design theory, and finite geometry / Leonard H. Soicher