<p><P>The rapidly-evolving theory of vertex operator algebras provides deep insight into many important algebraic structures. Vertex operator algebras can be viewed as "complex analogues" of both Lie algebras and associative algebras. They are mathematically precise counterparts of what are known in
Vertex Operator Algebras and Related Areas
β Scribed by Gaywalee Yamskulna, and Wenhua Zhao Maarten Bergvelt, Maarten Bergvelt, Gaywalee Yamskulna, Wenhua Zhao (ed.)
- Publisher
- American Mathematical Society
- Year
- 2009
- Tongue
- English
- Leaves
- 245
- Series
- Contemporary Mathematics 497
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Vertex operator algebras were introduced to mathematics in the work of Richard Borcherds, Igor Frenkel, James Lepowsky and Arne Meurman as a mathematically rigorous formulation of chiral algebras of two-dimensional conformal field theory. The aim was to use vertex operator algebras to explain and prove the remarkable Monstrous Moonshine conjectures in group theory. The theory of vertex operator algebras has now grown into a major research area in mathematics. These proceedings contain expository lectures and research papers presented during the international conference on Vertex Operator Algebras and Related Areas, held at Illinois State University in Normal, IL, from July 7 to July 11, 2008. The main aspects of this conference were connections and interactions of vertex operator algebras with the following areas: conformal field theories, quantum field theories, Hopf algebra, infinite dimensional Lie algebras, and modular forms. This book will be useful for researchers as well as for graduate students in mathematics and physics. Its purpose is not only to give an up-to-date overview of the fields covered by the conference but also to stimulate new directions and discoveries by experts in the areas
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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 alg
This volume contains the proceedings of the conference on Lie Algebras, Vertex Operator Algebras, and Related Topics, celebrating the 70th birthday of James Lepowsky and Robert Wilson, held from August 14β18, 2015, at the University of Notre Dame, Notre Dame, Indiana. Since their seminal work in the
<p></p><p>This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes ofΒ operators, including a range of applications.</p> <p>Most of the papers included were presented at the International Workshop on Operator Alge