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Vertex Operator Algebras and the Monster

Vertex Operator Algebras and the Monster Author Igor Frenkel
ISBN-10 0080874541
Release 1989-05-01
Pages 508
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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 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."



Vertex Operator Algebras and the Monster

Vertex Operator Algebras and the Monster Author Igor Frenkel
ISBN-10 0080874541
Release 1989-05-01
Pages 508
Download Link Click Here

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."



Geometry of Sporadic Groups Volume 1 Petersen and Tilde Geometries

Geometry of Sporadic Groups  Volume 1  Petersen and Tilde Geometries Author A. A. Ivanov
ISBN-10 0521413621
Release 1999-06-17
Pages 408
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Important monograph on finite group theory.



Encyclopaedia of Mathematics Supplement III

Encyclopaedia of Mathematics  Supplement III Author Michiel Hazewinkel
ISBN-10 1402001983
Release 2001-12-31
Pages 557
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This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.



Moonshine the Monster and Related Topics

Moonshine  the Monster  and Related Topics Author Chongying Dong
ISBN-10 9780821803851
Release 1996
Pages 368
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'One of the great legacies of the classification of the finite simple groups is the existence of the Monster $\ldots$. Work of Borcherds and Frenkel-Lepowsky-Meurman led to the notion of a vertex (operator) algebra, which was seen to be the same as the chiral algebras used by physicists in conformal field theory $\ldots$. The connections with physics have proven to be invaluable, and it seems likely that another branch of mathematics whose origins are eerily similar to those of moonshine - that is, elliptic cohomology - will turn out to be very relevant too' - from the Preface.This volume contains the proceedings of a Joint Summer Research Conference held at Mount Holyoke College in June 1994. As perhaps the first conference proceedings devoted exclusively to the subject known as 'Moonshine', this work contains something for many mathematicians and physicists. It features: results concerning the monster simple group and other simple groups; connections with elliptic cohomology; connections with 2-dimensional conformal field theory; the role of operads; and, connections with modular functions. ""Much of Moonshine, the Monster, and Related Topics"" features new results not available anywhere else.



Introduction to Vertex Operator Algebras and Their Representations

Introduction to Vertex Operator Algebras and Their Representations Author James Lepowsky
ISBN-10 9780817681869
Release 2012-12-06
Pages 318
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* 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.



Monster Vol 1

Monster  Vol  1 Author Naoki Urasawa
ISBN-10 142156906X
Release 2014-07-15
Pages 426
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Johan is a cold and calculating killer with a mysterious past, and brilliant Dr. Kenzo Tenma is the only one who can stop him! Conspiracy and serial murder open the door to a compelling, intricately woven plot in this masterwork of suspense. Everyone faces uncertainty at some point in their lives. Even a brilliant surgeon like Kenzo Tenma is no exception. But there’s no way he could have known that his decision to stop chasing professional success and instead concentrate on his oath to save peoples’ lives would result in the birth of an abomination. The questions of good and evil now take on a terrifyingly real dimension. Years later, in Germany during the tumultuous post-reunification period, middle-aged childless couples are being killed one after another. The serial killer’s identity is known. The reasons why he kills are not. Dr. Tenma sets out on a journey to find the killer’s twin sister, who may hold some clues to solving the enigma of the “Monster.”



Moonshine The First Quarter Century and Beyond

Moonshine   The First Quarter Century and Beyond Author James Lepowsky
ISBN-10 9780521106641
Release 2010-06-03
Pages 403
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"In 1979, John Conway and Simon Norton's famous paper, 'Monstrous Moonshine', outlined the remarkable connection between the monster group M and the theory of modular functions. The search for an explanation of this phenomenon involved the development and application of diverse areas of mathematics, including (generalized) Kac-Moody algebras, vertex (operator) algebras, automorphic forms and elliptic cohomology, together with string and conformal field theory from theoretical physics. This volume consists of seventeen papers based on talks presented at a workshop held to mark the anniversary of 'Monstrous Moonshine'. Containing a mixture of expository and current research material, they illustrate its extensive impact and reflect the broad range of research activity that has stemmed from the Moonshine conjectures. Potential directions for future development are also discussed"--Provided by publisher.



Vertex Operator Algebras in Mathematics and Physics

Vertex Operator Algebras in Mathematics and Physics Author Stephen Berman
ISBN-10 0821871447
Release
Pages 249
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Vertex operator algebras are a class of algebras underlying a number of recent constructions, results, and themes in mathematics. These algebras can be understood as ''string-theoretic analogues'' of Lie algebras and of commutative associative algebras. They play fundamental roles in some of the most active research areas in mathematics and physics. Much recent progress in both physics and mathematics has benefited from cross-pollination between the physical and mathematical points of view. This book presents the proceedings from the workshop, ''Vertex Operator Algebras in Mathematics and Physics'', held at The Fields Institute. It consists of papers based on many of the talks given at the conference by leading experts in the algebraic, geometric, and physical aspects of vertex operator algebra theory. The book is suitable for graduate students and research mathematicians interested in the major themes and important developments on the frontier of research in vertex operator algebra theory and its applications in mathematics and physics.



Monster

Monster Author Soren Summers
ISBN-10 1539903990
Release 2016-09-27
Pages 326
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Bloodied corridors. Mangled bodies. Deranged test subjects. Just another day at Vertex, a corporation devoted to perfecting humanity by any means necessary. It's up to Jarod Samuels to keep the hallways pristine and safe, but scrubbing bloodstains and bagging bodies is losing its luster. Then someone new joins his department, this man with a huge ego and an even huger mouth. Gabriel Anderson is infuriating but intriguing, as brash as he is beautiful, and almost enough to keep Jarod preoccupied. Almost.But between workplace hazards, psychic sociopaths, and a mysterious formula that alters the human body, Jarod's doubts are surging. Should he stay with the corporation, or run like hell? This is Vertex, after all, where the walls watch with glass eyes, the laboratories groan with secrets - and employee termination ends more than just careers.



Shape Smoothness and Invariant Stratification of an Attracting Set for Delayed Monotone Positive Feedback

Shape  Smoothness  and Invariant Stratification of an Attracting Set for Delayed Monotone Positive Feedback Author Tibor Krisztin
ISBN-10 0821871692
Release
Pages 245
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Shape Smoothness and Invariant Stratification of an Attracting Set for Delayed Monotone Positive Feedback has been writing in one form or another for most of life. You can find so many inspiration from Shape Smoothness and Invariant Stratification of an Attracting Set for Delayed Monotone Positive Feedback also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Shape Smoothness and Invariant Stratification of an Attracting Set for Delayed Monotone Positive Feedback book for free.



Vertex Algebras and Algebraic Curves Second Edition

Vertex Algebras and Algebraic Curves  Second Edition Author Edward Frenkel
ISBN-10 9780821836743
Release 2004-08-25
Pages 400
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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.



Moonshine beyond the Monster

Moonshine beyond the Monster Author Terry Gannon
ISBN-10 1139457802
Release 2006-09-07
Pages
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This book was originally published in 2006. Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. Moonshine Beyond the Monster describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between mathematics and mathematical physics. Written in a clear and pedagogical style, this book is ideal for graduate students and researchers working in areas such as conformal field theory, string theory, algebra, number theory, geometry and functional analysis. Containing over a hundred exercises, it is also a suitable textbook for graduate courses on Moonshine and as supplementary reading for courses on conformal field theory and string theory.



Vertex Algebras for Beginners

Vertex Algebras for Beginners Author Victor G. Kac
ISBN-10 9780821813966
Release 1998
Pages 201
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This is a revised and expanded edition of Kac's original introduction to algebraic aspects of conformal field theory, which was published by the AMS in 1996. The volume serves as an introduction to algebraic aspects of conformal field theory, which in the past 15 years revealed a variety of unusual mathematical notions. Vertex algebra theory provides an effective tool to study them in a unified way. In the book, a mathematician encounters new algebraic structures that originated from Einstein's special relativity postulate and Heisenberg's uncertainty principle. A physicist will find familiar notions presented in a more rigorous and systematic way, possibly leading to a better understanding of foundations of quantum physics. This revised edition is based on courses given by the author at MIT and at Rome University in spring 1997. New material is added, including the foundations of a rapidly growing area of algebraic conformal theory. Also, in some places the exposition has been significantly simplified.



S ri kagaku k ky roku

S  ri kagaku k  ky  roku Author
ISBN-10 UOM:39015049363313
Release 1999
Pages
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S ri kagaku k ky roku has been writing in one form or another for most of life. You can find so many inspiration from S ri kagaku k ky roku also informative, and entertaining. Click DOWNLOAD or Read Online button to get full S ri kagaku k ky roku book for free.



Vertex Operator Algebras and Related Areas

Vertex Operator Algebras and Related Areas Author M. J. Bergvelt
ISBN-10 9780821848401
Release 2009-10-01
Pages 225
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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.



Kac Moody and Virasoro Algebras

Kac Moody and Virasoro Algebras Author Peter Goddard
ISBN-10 9971504200
Release 1988
Pages 586
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This volume reviews the subject of Kac-Moody and Virasoro Algebras. It serves as a reference book for physicists with commentary notes and reprints.