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Introduction to vertex operator algebras and their representations
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ISBN: 0817634088 3764334088 Year: 2004 Publisher: Boston (Mass.) : Birkhäuser,

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Moonshine beyond the monster : the bridge connecting algebra, modular forms and physics
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ISBN: 1009401548 1009401580 Year: 2023 Publisher: Cambridge : Cambridge University Press,

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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.


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Vertex algebras for beginners
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ISBN: 9780821806432 0821806432 Year: 1997 Publisher: Providence (R.I.): American mathematical society,

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Algebraic combinatorics and the Monster Group
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ISBN: 9781009338042 9781009338073 Year: 2024 Publisher: Cambridge, United Kingdom ; New York, NY Cambridge University Press

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"This text provides the current state of knowledge on, arguably, one of the most attractive and mysterious mathematical objects: the Monster group. Some 20 experts here share their expertise in this exciting field. Ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas"--


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Algebraic combinatorics and the Monster Group
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ISBN: 1009338072 1009338056 Year: 2024 Publisher: Cambridge, United Kingdom ; New York, NY : Cambridge University Press,

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Covering, arguably, one of the most attractive and mysterious mathematical objects, the Monster group, this text strives to provide an insightful introduction and the discusses the current state of the field. The Monster group is related to many areas of mathematics, as well as physics, from number theory to string theory. This book cuts through the complex nature of the field, highlighting some of the mysteries and intricate relationships involved. Containing many meaningful examples and a manual introduction to the computer package GAP, it provides the opportunity and resources for readers to start their own calculations. Some 20 experts here share their expertise spanning this exciting field, and the resulting volume is ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.

The Monster and Lie Algebras
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ISSN: 09420363 ISBN: 3110801892 9783110801897 3110161842 9783110161847 Year: 2011 Volume: 7 Publisher: Berlin Boston

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Moonshine, the monster, and related topics
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ISBN: 0821803859 Year: 1996 Publisher: Providence (R.I.) : American mathematical society,

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From vertex operator algebras to conformal nets and back
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ISBN: 9781470428587 147042858X Year: 2018 Publisher: Providence : American Mathematical Society,

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Generalized vertex algebras and relative vertex operators.
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ISBN: 0817637214 1461267218 1461203538 9780817637217 Year: 1993 Volume: 112 Publisher: Boston Birkhäuser

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On axiomatic approaches to vertex operator algebras and modules
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ISBN: 0821825550 Year: 1993 Publisher: Providence (R.I.): American Mathematical Society

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