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Affine, Vertex and W-algebras, Dra?en Adamovi?; Paolo Papi


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Автор: Dra?en Adamovi?; Paolo Papi
Название:  Affine, Vertex and W-algebras
ISBN: 9783030329051
Издательство: Springer
Классификация:


ISBN-10: 3030329054
Обложка/Формат: Hardcover
Страницы: 218
Вес: 0.51 кг.
Дата издания: 2019
Серия: Springer INdAM Series
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 10 illustrations, black and white; ix, 218 p. 10 illus.
Размер: 234 x 156 x 14
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book focuses on recent developments in the theory of vertex algebras, with particular emphasis on affine vertex algebras, affine W-algebras, and W-algebras appearing in physical theories such as logarithmic conformal field theory. It is widely accepted in the mathematical community that the best way to study the representation theory of affine Kac–Moody algebras is by investigating the representation theory of the associated affine vertex and W-algebras. In this volume, this general idea can be seen at work from several points of view. Most relevant state of the art topics are covered, including fusion, relationships with finite dimensional Lie theory, permutation orbifolds, higher Zhu algebras, connections with combinatorics, and mathematical physics. The volume is based on the INdAM Workshop Affine, Vertex and W-algebras, held in Rome from 11 to 15 December 2017. It will be of interest to all researchers in the field.
Дополнительное описание: 1 Dra?en Adamovi?, Victor G. Kac, Pierluigi M?seneder Frajria, Paolo Papi and Ozren Per?e, Kostant’s pair of Lie type and conformal embeddings.- 2 Dan Barbasch and Pavle Pand?i?, Twisted Dirac index and applications to characters.- 3 Katrina Barron, Natha


Vertex algebras and algebraic curves

Автор: Frenkel E., Ben-Zwi D.
Название: Vertex algebras and algebraic curves
ISBN: 0821836749 ISBN-13(EAN): 9780821836743
Издательство: Неизвестно
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Цена: 139330.00 T
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Описание: Presents an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves. This book contains several topics, in particular an introduction to the Beilinson-Drinfeld theory of factorization algebras and the geometric Langlands correspondence.

Vertex Algebras and Geometry

Автор: Thomas Creutzig, Andrew R. Linshaw
Название: Vertex Algebras and Geometry
ISBN: 1470437171 ISBN-13(EAN): 9781470437176
Издательство: Mare Nostrum (Eurospan)
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Цена: 116430.00 T
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Описание: Contains the proceedings of the AMS Special Session on Vertex Algebras and Geometry and the mini-conference on Vertex Algebras, held in October 2016, in Denver, Colorado. The papers cover vertex algebras in connection with geometry and tensor categories.

Lie Algebras, Vertex Operator Algebras, and Related Topics

Автор: Katrina Barron, Elizabeth Jurisich, Antun Milas, Kailash Misra
Название: Lie Algebras, Vertex Operator Algebras, and Related Topics
ISBN: 1470426668 ISBN-13(EAN): 9781470426668
Издательство: Mare Nostrum (Eurospan)
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Цена: 110880.00 T
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Описание: 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. 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.

Elliptic Genera and Vertex Operator Super-Algebras

Автор: Hirotaka Tamanoi
Название: Elliptic Genera and Vertex Operator Super-Algebras
ISBN: 3540660062 ISBN-13(EAN): 9783540660064
Издательство: Springer
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Цена: 46540.00 T
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Описание: 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.

Vertex-Frequency Analysis of Graph Signals

Автор: Stankovic Ljubisa, Sejdic Ervin
Название: Vertex-Frequency Analysis of Graph Signals
ISBN: 3030035735 ISBN-13(EAN): 9783030035730
Издательство: Springer
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Цена: 149060.00 T
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Описание:

This book introduces new methods to analyze vertex-varying graph signals. In many real-world scenarios, the data sensing domain is not a regular grid, but a more complex network that consists of sensing points (vertices) and edges (relating the sensing points). Furthermore, sensing geometry or signal properties define the relation among sensed signal points. Even for the data sensed in the well-defined time or space domain, the introduction of new relationships among the sensing points may produce new insights in the analysis and result in more advanced data processing techniques. The data domain, in these cases and discussed in this book, is defined by a graph. Graphs exploit the fundamental relations among the data points. Processing of signals whose sensing domains are defined by graphs resulted in graph data processing as an emerging field in signal processing.

Although signal processing techniques for the analysis of time-varying signals are well established, the corresponding graph signal processing equivalent approaches are still in their infancy. This book presents novel approaches to analyze vertex-varying graph signals. The vertex-frequency analysis methods use the Laplacian or adjacency matrix to establish connections between vertex and spectral (frequency) domain in order to analyze local signal behavior where edge connections are used for graph signal localization. The book applies combined concepts from time-frequency and wavelet analyses of classical signal processing to the analysis of graph signals.

Covering analytical tools for vertex-varying applications, this book is of interest to researchers and practitioners in engineering, science, neuroscience, genome processing, just to name a few. It is also a valuable resource for postgraduate students and researchers looking to expand their knowledge of the vertex-frequency analysis theory and its applications.

The book consists of 15 chapters contributed by 41 leading researches in the field.



Introduction to Vertex Operator Superalgebras and Their Modules

Автор: Xiaoping Xu
Название: Introduction to Vertex Operator Superalgebras and Their Modules
ISBN: 0792352424 ISBN-13(EAN): 9780792352426
Издательство: Springer
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Цена: 102480.00 T
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Описание: Presents a study on the structures of vertex operator superalgebras and their modules. This book includes related theories of self-dual codes and lattices, as well as achievements on classifications of certain simple vertex operator superalgebras and their irreducible twisted modules.

Vertex Operators in Mathematics and Physics

Автор: J. Lepowsky; S. Mandelstam; I.M. Singer
Название: Vertex Operators in Mathematics and Physics
ISBN: 1461395526 ISBN-13(EAN): 9781461395522
Издательство: Springer
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Цена: 113190.00 T
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Описание: According to the standard approach of Lie theory, one looks for infinitesimal symmetry -- Lie algebras of operators or concrete realizations of abstract Lie algebras.

Introduction to Vertex Operator Superalgebras and Their Modules

Автор: Xiaoping Xu
Название: Introduction to Vertex Operator Superalgebras and Their Modules
ISBN: 9048150965 ISBN-13(EAN): 9789048150960
Издательство: Springer
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Цена: 181630.00 T
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Описание: Vertex algebra was introduced by Boreherds, and the slightly revised notion "vertex oper- ator algebra" was formulated by Frenkel, Lepowsky and Meurman, in order to solve the problem of the moonshine representation of the Monster group - the largest sporadie group. On the one hand, vertex operator algebras ean be viewed as extensions of eertain infinite-dimensional Lie algebras such as affine Lie algebras and the Virasoro algebra. On the other hand, they are natural one-variable generalizations of commutative associative algebras with an identity element. In a certain sense, Lie algebras and commutative asso- ciative algebras are reconciled in vertex operator algebras. Moreover, some other algebraie structures, such as integral linear lattiees, Jordan algebras and noncommutative associa- tive algebras, also appear as subalgebraic structures of vertex operator algebras. The axioms of vertex operator algebra have geometrie interpretations in terms of Riemman spheres with punctures. The trace functions of a certain component of vertex operators enjoy the modular invariant properties. Vertex operator algebras appeared in physies as the fundamental algebraic structures of eonformal field theory, whieh plays an important role in string theory and statistieal meehanies. Moreover, eonformalfieldtheoryreveals animportantmathematiealproperty, the so called "mirror symmetry" among Calabi-Yau manifolds. The general correspondence between vertex operator algebras and Calabi-Yau manifolds still remains mysterious. Ever since the first book on vertex operator algebras by Frenkel, Lepowsky and Meur- man was published in 1988, there has been a rapid development in vertex operator su- peralgebras, which are slight generalizations of vertex operator algebras.

Representations of Affine Hecke Algebras

Автор: Nanhua Xi
Название: Representations of Affine Hecke Algebras
ISBN: 3540583890 ISBN-13(EAN): 9783540583899
Издательство: Springer
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Цена: 23250.00 T
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Описание: These lecture notes show that the classification of simple Hq-modules is essentially different from general cases when q is a root of 1 of certain orders. The based rings of affine Weyl groups are shown to be of interest in understanding irreducible representations of affine Hecke algebras.

Theory of Affine Projection Algorithms for Adaptive Filtering

Автор: Kazuhiko Ozeki
Название: Theory of Affine Projection Algorithms for Adaptive Filtering
ISBN: 4431563105 ISBN-13(EAN): 9784431563105
Издательство: Springer
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Цена: 95770.00 T
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Описание: This book focuses on theoretical aspects of the affine projection algorithm (APA) for adaptive filtering.


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