The Monster and Lie Algebras: Proceedings of a Special Research Quarter Held at the Ohio State University, May 1996 (Ohio State University Mathematical Research Institute Publications, No 7)

This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings. Preface Part I The Monster Vertex operators in algebraic topology The radical of a vertex operator algebra Associative subalgebras of the Griess algebra and related topics A vertex operator algebra related to E8 with automorphism group O+(10,2) Modular forms associated with the Monster module Quilts, the 3-string braid group, and braid actions on finite groups: an introduction The moonshine VOA and a tensor product of Ising models Netting the Monster Monster roots Part II Lie Algebras On graded Lie algebras of characteristic three with classical reductive null component Auslander-Reiten theory for restricted Lie algebras Chief factors and the principal block of a restricted Lie algebra On Drinfeld realization of quantum affine algebras Free Lie superalgebras and the generalized Witt formula A generalization of the Jordan approach to symmetric Riemannian spaces Representation theory of Lie algebras of Cartan type These papers present the various aspects of group theory and Lie algebra theory with the monster group as the underlying subject. Topics covered include vertex operator algebras and the application in conformal field theory and elliptical cohomology, the net group, and modular Lie algebras.

Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.