Vertex Algebras for Beginners - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Vertex Algebras for Beginners write by Victor G. Kac. This book was released on 1998. Vertex Algebras for Beginners available in PDF, EPUB and Kindle. Based on courses given by the author at MIT and at Rome University in spring 1997, this book presents an introduction to algebraic aspects of conformal field theory. It includes material on the foundations of a rapidly growing area of algebraic conformal theory.
Introduction to Vertex Operator Algebras and Their Representations
Introduction to Vertex Operator Algebras and Their Representations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Vertex Operator Algebras and Their Representations write by James Lepowsky. This book was released on 2012-12-06. Introduction to Vertex Operator Algebras and Their Representations available in PDF, EPUB and Kindle. * Introduces the fundamental theory of vertex operator algebras and its basic techniques and examples. * Begins with a detailed presentation of the theoretical foundations and proceeds to a range of applications. * Includes a number of new, original results and brings fresh perspective to important works of many other researchers in algebra, lie theory, representation theory, string theory, quantum field theory, and other areas of math and physics.
Vertex Algebras and Algebraic Curves
Vertex Algebras and Algebraic Curves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Vertex Algebras and Algebraic Curves write by Edward Frenkel. This book was released on 2004-08-25. Vertex Algebras and Algebraic Curves available in PDF, EPUB and Kindle. Vertex algebras are algebraic objects that encapsulate the concept of operator product expansion from two-dimensional conformal field theory. Vertex algebras are fast becoming ubiquitous in many areas of modern mathematics, with applications to representation theory, algebraic geometry, the theory of finite groups, modular functions, topology, integrable systems, and combinatorics. This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves. The notion of a vertex algebra is introduced in a coordinate-independent way, so that vertex operators become well defined on arbitrary smooth algebraic curves, possibly equipped with additional data, such as a vector bundle. Vertex algebras then appear as the algebraic objects encoding the geometric structure of various moduli spaces associated with algebraic curves. Therefore they may be used to give a geometric interpretation of various questions of representation theory. The book contains many original results, introduces important new concepts, and brings new insights into the theory of vertex algebras. The authors have made a great effort to make the book self-contained and accessible to readers of all backgrounds. Reviewers of the first edition anticipated that it would have a long-lasting influence on this exciting field of mathematics and would be very useful for graduate students and researchers interested in the subject. This second edition, substantially improved and expanded, includes several new topics, in particular an introduction to the Beilinson-Drinfeld theory of factorization algebras and the geometric Langlands correspondence.
Vertex Operator Algebras and the Monster
Vertex Operator Algebras and the Monster - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Vertex Operator Algebras and the Monster write by Igor Frenkel. This book was released on 1989-05-01. Vertex Operator Algebras and the Monster available in PDF, EPUB and Kindle. 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."
Generalized Vertex Algebras and Relative Vertex Operators
Generalized Vertex Algebras and Relative Vertex Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Generalized Vertex Algebras and Relative Vertex Operators write by Chongying Dong. This book was released on 2012-12-06. Generalized Vertex Algebras and Relative Vertex Operators available in PDF, EPUB and Kindle. 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. The monograph is written in a n accessible and self-contained manner, with detailed proofs and with many examples interwoven through the axiomatic treatment as motivation and applications. It will be useful for research mathematicians and theoretical physicists working the such fields as representation theory and algebraic structure sand will provide the basis for a number of graduate courses and seminars on these and related topics.
