The Monster and Lie Algebras: Proceedings of a Special Research Quarter at the Ohio State University, May 1996

by Joseph Ferrar (Editor), Koichiro Harada (Editor)

Overview

No detailed description available for "The Monster and Lie Algebras".

Product Details

ISBN-13:	9783110161847
Publisher:	De Gruyter
Publication date:	08/25/1998
Series:	Ohio State University Mathematical Research Institute Publications , #7
Edition description:	Reprint 2011
Pages:	262
Product dimensions:	6.69(w) x 9.45(h) x (d)
Age Range:	18 Years

Table of Contents

	Preface	v
Part I	The Monster
	Vertex operators in algebraic topology	3
	The radical of a vertex operator algebra	17
	Associative subalgebras of the Griess algebra and related topics	27
	A vertex operator algebra related to E[subscript 8] with automorphism group O[superscript +] (10, 2)	43
	Modular forms associated with the Monster module	59
	Quilts, the 3-string braid group, and braid actions on finite groups: an introduction	85
	The moonshine VOA and a tensor product of Ising models	99
	Netting the Monster	111
	Monster roots	127
Part II	Lie Algebras
	On graded Lie algebras of characteristic three with classical reductive null component	149
	Auslander--Reiten theory for restricted Lie algebras	165
	Chief factors and the principal block of a restricted Lie algebra	187
	On Drinfeld realization of quantum affine algebras	195
	Free Lie superalgebras and the generalized Witt formula	207
	A generalization of the Jordan approach to symmetric Riemannian spaces	221
	Representation theory of Lie algebras of Cartan type	235

Editorial Reviews

For specialists and graduate students working in finite simple groups, especially the Monster simple group, and in Lie algebras. The 16 selected papers discuss such aspects as the radical of a vertex operator algebra, modular forms associated with the Monster module, the moonshine of vertix operator algebra and a tensor product of Ising models, graded Lie algebras of characteristic three with a classical reductive null component, chief factors and the principal block of a restricted Lie algebra, and a generalization of the Jordan approach to symmetric Riemannian spaces. No index. Annotation c. by Book News, Inc., Portland, Or.

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