Vertex Operator Algebras and the Monster
Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Algebra
| Author: | Igor Frenkel, James Lepowsky, Arne Meurman | ISBN: | 9780080874548 |
| Publisher: | Elsevier Science | Publication: | May 1, 1989 |
| Imprint: | Academic Press | Language: | English |
| Author: | Igor Frenkel, James Lepowsky, Arne Meurman |
| ISBN: | 9780080874548 |
| Publisher: | Elsevier Science |
| Publication: | May 1, 1989 |
| Imprint: | Academic Press |
| Language: | English |
This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two-dimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous moonshine."
This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two-dimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous moonshine."
