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Affine, Vertex and W-Algebras, Adamovic Drazen, Papi Paolo


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Автор: Adamovic Drazen, Papi Paolo
Название:  Affine, Vertex and W-Algebras
ISBN: 9783030329082
Издательство: Springer
Классификация:

ISBN-10: 3030329089
Обложка/Формат: Paperback
Страницы: 218
Вес: 0.33 кг.
Дата издания: 11.12.2020
Язык: English
Размер: 23.39 x 15.60 x 1.22 cm
Ссылка на Издательство: Link
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.

Hasse-Schmidt Derivations on Grassmann Algebras: With Applications to Vertex Operators

Автор: Gatto Letterio, Salehyan Parham
Название: Hasse-Schmidt Derivations on Grassmann Algebras: With Applications to Vertex Operators
ISBN: 3319811347 ISBN-13(EAN): 9783319811345
Издательство: Springer
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Цена: 111790.00 T
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Описание: Prologue.- Generic Linear Recurrence Sequences.- Algebras and Derivations.- Hasse-Schmidt Derivations on Exterior Algebras.- Schubert Derivations.- Decomposable Tensors in Exterior Powers.- Vertex Operators via Generic LRS.- Index.

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 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
Наличие на складе: Невозможна поставка.
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
Наличие на складе: Невозможна поставка.
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.

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.



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.

Double Affine Hecke Algebras and Congruence Groups

Автор: Bogdan Ion, Siddhartha Sahi
Название: Double Affine Hecke Algebras and Congruence Groups
ISBN: 1470443260 ISBN-13(EAN): 9781470443269
Издательство: Mare Nostrum (Eurospan)
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Цена: 71060.00 T
Наличие на складе: Нет в наличии.

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.

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.

Vertex operator algebras, number theory and related topics

Название: Vertex operator algebras, number theory and related topics
ISBN: 1470449382 ISBN-13(EAN): 9781470449384
Издательство: Mare Nostrum (Eurospan)
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Цена: 100320.00 T
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Описание: This volume contains the proceedings of the International Conference on Vertex Operator Algebras, Number Theory, and Related Topics, held from June 11-15, 2018, at California State University, Sacramento, California.The mathematics of vertex operator algebras, vector-valued modular forms and finite group theory continues to provide a rich and vibrant landscape in mathematics and physics. The resurgence of moonshine related to the Mathieu group and other groups, the increasing role of algebraic geometry and the development of irrational vertex operator algebras are just a few of the exciting and active areas at present.The proceedings centre around active research on vertex operator algebras and vector-valued modular forms and offer original contributions to the areas of vertex algebras and number theory, surveys on some of the most important topics relevant to these fields, introductions to new fields related to these and open problems from some of the leaders in these areas.

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
Рейтинг:
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.

Quiver Grassmannians of Extended Dynkin Type $D$: Part I: Schubert Systems and Decompositions into Affine Spaces

Автор: Oliver Lorscheid, Thorsten Weist
Название: Quiver Grassmannians of Extended Dynkin Type $D$: Part I: Schubert Systems and Decompositions into Affine Spaces
ISBN: 1470436477 ISBN-13(EAN): 9781470436476
Издательство: Mare Nostrum (Eurospan)
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Цена: 83160.00 T
Наличие на складе: Нет в наличии.
Описание: The authors characterize the affine spaces in terms of the combinatorics of a fixed coefficient quiver for $M$. The method of proof is to exhibit explicit equations for the Schubert cells of $\mathrm{Gr}_{\underline{e}}(M)$ and to solve this system of equations successively in linear terms.


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