Introduction to Vertex Operator Superalgebras and Their Modules

Download Introduction to Vertex Operator Superalgebras and Their Modules PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9401590974
Total Pages : 371 pages
Book Rating : 4.76/5 ( download)

DOWNLOAD NOW!


Book Synopsis Introduction to Vertex Operator Superalgebras and Their Modules by : Xiaoping Xu

Download or read book Introduction to Vertex Operator Superalgebras and Their Modules written by Xiaoping Xu and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic study on the structures of vertex operator superalgebras and their modules. Related theories of self-dual codes and lattices are included, as well as recent achievements on classifications of certain simple vertex operator superalgebras and their irreducible twisted modules, constructions of simple vertex operator superalgebras from graded associative algebras and their anti-involutions, self-dual codes and lattices. Audience: This book is of interest to researchers and graduate students in mathematics and mathematical physics.

Introduction to Vertex Operator Algebras and Their Representations

Download Introduction to Vertex Operator Algebras and Their Representations PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817681868
Total Pages : 330 pages
Book Rating : 4.69/5 ( download)

DOWNLOAD NOW!


Book Synopsis Introduction to Vertex Operator Algebras and Their Representations by : James Lepowsky

Download or read book Introduction to Vertex Operator Algebras and Their Representations written by James Lepowsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: * 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.

Lie Algebras, Vertex Operator Algebras and Their Applications

Download Lie Algebras, Vertex Operator Algebras and Their Applications PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821839861
Total Pages : 500 pages
Book Rating : 4.67/5 ( download)

DOWNLOAD NOW!


Book Synopsis Lie Algebras, Vertex Operator Algebras and Their Applications by : Yi-Zhi Huang

Download or read book Lie Algebras, Vertex Operator Algebras and Their Applications written by Yi-Zhi Huang and published by American Mathematical Soc.. This book was released on 2007 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this book are based on talks given at the international conference 'Lie algebras, vertex operator algebras and their applications'. The focus of the papers is mainly on Lie algebras, quantum groups, vertex operator algebras and their applications to number theory, combinatorics and conformal field theory.

Lie Algebras, Vertex Operator Algebras, and Related Topics

Download Lie Algebras, Vertex Operator Algebras, and Related Topics PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470426668
Total Pages : 274 pages
Book Rating : 4.68/5 ( download)

DOWNLOAD NOW!


Book Synopsis Lie Algebras, Vertex Operator Algebras, and Related Topics by : Katrina Barron

Download or read book Lie Algebras, Vertex Operator Algebras, and Related Topics written by Katrina Barron and published by American Mathematical Soc.. This book was released on 2017-08-15 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 14–18, 2015, at the University of Notre Dame, Notre Dame, Indiana. Since their seminal work in the 1970s, Lepowsky and Wilson, their collaborators, their students, and those inspired by their work, have developed an amazing body of work intertwining the fields of Lie algebras, vertex algebras, number theory, theoretical physics, quantum groups, the representation theory of finite simple groups, and more. The papers presented here include recent results and descriptions of ongoing research initiatives representing the broad influence and deep connections brought about by the work of Lepowsky and Wilson and include a contribution by Yi-Zhi Huang summarizing some major open problems in these areas, in particular as they pertain to two-dimensional conformal field theory.

Generalized Vertex Algebras and Relative Vertex Operators

Download Generalized Vertex Algebras and Relative Vertex Operators PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461203538
Total Pages : 207 pages
Book Rating : 4.37/5 ( download)

DOWNLOAD NOW!


Book Synopsis Generalized Vertex Algebras and Relative Vertex Operators by : Chongying Dong

Download or read book Generalized Vertex Algebras and Relative Vertex Operators written by Chongying Dong and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Spinor Construction of Vertex Operator Algebras, Triality, and $E^{(1)}_8$

Download Spinor Construction of Vertex Operator Algebras, Triality, and $E^{(1)}_8$ PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821851284
Total Pages : 158 pages
Book Rating : 4.89/5 ( download)

DOWNLOAD NOW!


Book Synopsis Spinor Construction of Vertex Operator Algebras, Triality, and $E^{(1)}_8$ by : Alex J. Feingold

Download or read book Spinor Construction of Vertex Operator Algebras, Triality, and $E^{(1)}_8$ written by Alex J. Feingold and published by American Mathematical Soc.. This book was released on 1991 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of vertex operator algebras is a remarkably rich new mathematical field which captures the algebraic content of conformal field theory in physics. Ideas leading up to this theory appeared in physics as part of statistical mechanics and string theory. In mathematics, the axiomatic definitions crystallized in the work of Borcherds and in Vertex Operator Algebras and the Monster, by Frenkel, Lepowsky, and Meurman. The structure of monodromies of intertwining operators for modules of vertex operator algebras yield braid group representations and leads to natural generalizations of vertex operator algebras, such as superalgebras and para-algebras. Many examples of vertex operator algebras and their generalizations are related to constructions in classical representation theory and shed new light on the classical theory. This book accomplishes several goals. The authors provide an explicit spinor construction, using only Clifford algebras, of a vertex operator superalgebra structure on the direct sum of the basic and vector modules for the affine Kac-Moody algebra Dn(1). They also review and extend Chevalley's spinor construction of the 24-dimensional commutative nonassociative algebraic structure and triality on the direct sum of the three 8-dimensional D4-modules. Vertex operator para-algebras, introduced and developed independently in this book and by Dong and Lepowsky, are related to one-dimensional representations of the braid group. The authors also provide a unified approach to the Chevalley, Greiss, and E8 algebras and explain some of their similarities. A Third goal is to provide a purely spinor construction of the exceptional affine Lie algebra E8(1), a natural continuation of previous work on spinor and oscillator constructions of the classical affine Lie algebras. These constructions should easily extend to include the rest of the exceptional affine Lie algebras. The final objective is to develop an inductive technique of construction which could be applied to the Monster vertex operator algebra. Directed at mathematicians and physicists, this book should be accessible to graduate students with some background in finite-dimensional Lie algebras and their representations. Although some experience with affine Kac-Moody algebras would be useful, a summary of the relevant parts of that theory is included. This book shows how the concepts and techniques of Lie theory can be generalized to yield the algebraic structures associated with conformal field theory. The careful reader will also gain a detailed knowledge of how the spinor construction of classical triality lifts to the affine algebras and plays an important role in the spinor construction of vertex operator algebras, modules, and intertwining operators with nontrivial monodromies.

Elliptic Genera and Vertex Operator Super-Algebras

Download Elliptic Genera and Vertex Operator Super-Algebras PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3540487883
Total Pages : 397 pages
Book Rating : 4.83/5 ( download)

DOWNLOAD NOW!


Book Synopsis Elliptic Genera and Vertex Operator Super-Algebras by : Hirotaka Tamanoi

Download or read book Elliptic Genera and Vertex Operator Super-Algebras written by Hirotaka Tamanoi and published by Springer. This book was released on 2006-11-14 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with two aspects of the theory of elliptic genus: its topological aspect involving elliptic functions, and its representation theoretic aspect involving vertex operator super-algebras. For the second aspect, elliptic genera are shown to have the structure of modules over certain vertex operator super-algebras. The vertex operators corresponding to parallel tensor fields on closed Riemannian Spin Kähler manifolds such as Riemannian tensors and Kähler forms are shown to give rise to Virasoro algebras and affine Lie algebras. This monograph is chiefly intended for topologists and it includes accounts on topics outside of topology such as vertex operator algebras.

Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics

Download Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470418444
Total Pages : 355 pages
Book Rating : 4.41/5 ( download)

DOWNLOAD NOW!


Book Synopsis Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics by : Kailash C. Misra

Download or read book Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics written by Kailash C. Misra and published by American Mathematical Soc.. This book was released on 2016-06-28 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the 2012–2014 Southeastern Lie Theory Workshop Series held at North Carolina State University in April 2012, at College of Charleston in December 2012, at Louisiana State University in May 2013, and at University of Georgia in May 2014. Some of the articles by experts in the field survey recent developments while others include new results in representations of Lie algebras, and quantum groups, vertex (operator) algebras and Lie superalgebras.

Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory

Download Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821827162
Total Pages : 346 pages
Book Rating : 4.61/5 ( download)

DOWNLOAD NOW!


Book Synopsis Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory by : Stephen Berman

Download or read book Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory written by Stephen Berman and published by American Mathematical Soc.. This book was released on 2002 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because of its many applications to mathematics and mathematical physics, the representation theory of infinite-dimensional Lie and quantized enveloping algebras comprises an important area of current research. This volume includes articles from the proceedings of an international conference, ``Infinite-Dimensional Lie Theory and Conformal Field Theory'', held at the University of Virginia. Many of the contributors to the volume are prominent researchers in the field. Thisconference provided an opportunity for mathematicians and physicists to interact in an active research area of mutual interest. The talks focused on recent developments in the representation theory of affine, quantum affine, and extended affine Lie algebras and Lie superalgebras. They also highlightedapplications to conformal field theory, integrable and disordered systems. Some of the articles are expository and accessible to a broad readership of mathematicians and physicists interested in this area; others are research articles that are appropriate for more advanced readers.

Lie Theory and Its Applications in Physics

Download Lie Theory and Its Applications in Physics PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 4431552855
Total Pages : 554 pages
Book Rating : 4.57/5 ( download)

DOWNLOAD NOW!


Book Synopsis Lie Theory and Its Applications in Physics by : Vladimir Dobrev

Download or read book Lie Theory and Its Applications in Physics written by Vladimir Dobrev and published by Springer. This book was released on 2015-01-26 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrization and symmetries are meant in their widest sense, i.e., representation theory, algebraic geometry, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear PDE, special functions, and others. Furthermore, the necessary tools from functional analysis and number theory are included. This is a big interdisciplinary and interrelated field. Samples of these fresh trends are presented in this volume, based on contributions from the Workshop "Lie Theory and Its Applications in Physics" held near Varna (Bulgaria) in June 2013. This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists and researchers in the field of Lie Theory.