Lie Algebras, Vertex Operator Algebras, and Related Topics, Katrina Barron, Elizabeth Jurisich, Antun Milas, Kailash Misra
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 Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Stankovic Ljubisa, Sejdic Ervin Название: Vertex-Frequency Analysis of Graph Signals ISBN: 3030035735 ISBN-13(EAN): 9783030035730 Издательство: Springer Рейтинг: Цена: 149060.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Frenkel E., Ben-Zwi D. Название: Vertex algebras and algebraic curves ISBN: 0821836749 ISBN-13(EAN): 9780821836743 Издательство: Неизвестно Рейтинг: Цена: 139330.00 T Наличие на складе: Невозможна поставка. 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.
Автор: Hirotaka Tamanoi Название: Elliptic Genera and Vertex Operator Super-Algebras ISBN: 3540660062 ISBN-13(EAN): 9783540660064 Издательство: Springer Рейтинг: Цена: 46540.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Thomas Creutzig, Andrew R. Linshaw Название: Vertex Algebras and Geometry ISBN: 1470437171 ISBN-13(EAN): 9781470437176 Издательство: Mare Nostrum (Eurospan) Рейтинг: 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.
Автор: Xiaoping Xu Название: Introduction to Vertex Operator Superalgebras and Their Modules ISBN: 0792352424 ISBN-13(EAN): 9780792352426 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: J. Lepowsky; S. Mandelstam; I.M. Singer Название: Vertex Operators in Mathematics and Physics ISBN: 1461395526 ISBN-13(EAN): 9781461395522 Издательство: Springer Рейтинг: Цена: 113190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Marina Avitabile, Jorg Feldvoss, Thomas Weigel Название: Lie Algebras and Related Topics ISBN: 1470410230 ISBN-13(EAN): 9781470410230 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 104410.00 T Наличие на складе: Невозможна поставка. Описание: Contains the proceedings of the Workshop on Lie Algebras held in May 2013. The first part of this volume combines research papers with survey papers by the invited speakers. The second part consists of several collections of problems on modular Lie algebras, their representations, and the conjugacy of their nilpotent elements.
Автор: Naihuan Jing, Kailash C. Misra Название: Representations of Lie Algebras, Quantum Groups and Related Topics ISBN: 1470436965 ISBN-13(EAN): 9781470436964 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 116430.00 T Наличие на складе: Невозможна поставка. Описание: Contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held in November 2016. The articles cover various aspects of representations of Kac-Moody Lie algebras and their applications, structure of Leibniz algebras and Krichever-Novikov algebras, and related topics.
Автор: V. Dlab; Leonard Scott Название: Finite Dimensional Algebras and Related Topics ISBN: 0792327551 ISBN-13(EAN): 9780792327554 Издательство: Springer Рейтинг: Цена: 266470.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Based on invited lectures at the 1992 Canadian Algebra Seminar, this volume examines finite-dimensional algebras as a subject with many serious interactions with other mathematical disciplines, including algebraic groups and Lie theory, automorphic forms, sheaf theory and finite groups.
Автор: Huzihiro Araki; G. Arsene; Calvin C. Moore; Serban Название: Operator Algebras and their Connections with Topology and Ergodic Theory ISBN: 3540156437 ISBN-13(EAN): 9783540156437 Издательство: Springer Рейтинг: Цена: 46540.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
