Lie Algebras Lie Superalgebras Vertex Algebras And Related Topics

Author : Kailash C. Misra,Daniel K. Nakano,Brian J. Parshall
Publisher : American Mathematical Soc.
Page : 355 pages
File Size : 45,5 Mb
Release : 2016-06-28
Category : Group theory and generalizations
ISBN : 9781470418441

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Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics by Kailash C. Misra,Daniel K. Nakano,Brian J. Parshall Pdf

This book contains the proceedings of the 2012–2014 Southeastern Lie Theory Workshop Series held at North Carolina State University in April 2012, at College of Charleston in December 2012, at Louisiana State University in May 2013, and at University of Georgia in May 2014. Some of the articles by experts in the field survey recent developments while others include new results in representations of Lie algebras, and quantum groups, vertex (operator) algebras and Lie superalgebras.

Author : Kailash C. Misra,Daniel Ken Nakano,Brian Parshall
Publisher : Unknown
Page : 128 pages
File Size : 47,7 Mb
Release : 2016
Category : Group theory and generalizations
ISBN : 1470430134

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Lie Algebras, Lie Superalgebras, Vertex Algebras, and Related Topics by Kailash C. Misra,Daniel Ken Nakano,Brian Parshall Pdf

Author : Georgia Benkart
Publisher : American Mathematical Soc.
Page : 313 pages
File Size : 55,9 Mb
Release : 1990
Category : Mathematics
ISBN : 9780821851197

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Lie Algebras and Related Topics by Georgia Benkart Pdf

The 1984 classification of the finite-dimensional restricted simple Lie algebras over an algebraically closed field of characteristic $p>7$ provided the impetus for a Special Year of Lie Algebras, held at the University of Wisconsin, Madison, during 1987-88. Work done during the Special Year and afterward put researchers much closer toward a solution of the long-standing problem of determining the finite-dimensional simple Lie algebras over an algebraically closed field of characteristic $p>7$. This volume contains the proceedings of a conference on Lie algebras and related topics, held in May 1988 to mark the end of the Special Year. The conference featured lectures on Lie algebras of prime characteristic, algebraic groups, combinatorics and representation theory, and Kac-Moody and Virasoro algebras. Many facets of recent research on Lie theory are reflected in the papers presented here, testifying to the richness and diversity of this topic.

Author : Maria Gorelik,Paolo Papi
Publisher : Springer Science & Business
Page : 280 pages
File Size : 53,5 Mb
Release : 2014-04-28
Category : Mathematics
ISBN : 9783319029528

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Advances in Lie Superalgebras by Maria Gorelik,Paolo Papi Pdf

The volume is the outcome of the conference "Lie superalgebras," which was held at the Istituto Nazionale di Alta Matematica, in 2012. The conference gathered many specialists in the subject, and the talks held provided comprehensive insights into the newest trends in research on Lie superalgebras (and related topics like vertex algebras, representation theory and supergeometry). The book contains contributions of many leading esperts in the field and provides a complete account of the newest trends in research on Lie Superalgebras.

Author : Katrina Barron,Elizabeth Jurisich,Antun Milas,Kailash Misr
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 55,7 Mb
Release : 2017-08-15
Category : Lie algebras
ISBN : 9781470426668

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Lie Algebras, Vertex Operator Algebras, and Related Topics by Katrina Barron,Elizabeth Jurisich,Antun Milas,Kailash Misr Pdf

This volume 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, held from August 14–18, 2015, at the University of Notre Dame, Notre Dame, Indiana. Since their seminal work in the 1970s, Lepowsky and Wilson, their collaborators, their students, and those inspired by their work, have developed an amazing body of work intertwining the fields of Lie algebras, vertex algebras, number theory, theoretical physics, quantum groups, the representation theory of finite simple groups, and more. 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 and include a contribution by Yi-Zhi Huang summarizing some major open problems in these areas, in particular as they pertain to two-dimensional conformal field theory.

Author : Daniel J. Britten,Frank W. Lemire,R. V. Moody
Publisher : American Mathematical Soc.
Page : 398 pages
File Size : 44,9 Mb
Release : 1986
Category : Mathematics
ISBN : 0821860097

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Lie Algebras and Related Topics by Daniel J. Britten,Frank W. Lemire,R. V. Moody Pdf

As the Proceedings of the 1984 Canadian Mathematical Society's Summer Seminar, this book focuses on some advances in the theory of semisimple Lie algebras and some direct outgrowths of that theory. The following papers are of particular interest: an important survey article by R. Block and R. Wilson on restricted simple Lie algebras, a survey of universal enveloping algebras of semisimple Lie algebras by W. Borho, a course on Kac-Moody Lie algebras by I. G. Macdonald with an extensive bibliography of this field by Georgia Benkart, and a course on formal groups by M. Hazewinkel. Because of the expository surveys and courses, the book will be especially useful to graduate students in Lie theory, as well as to researchers in the field.

Author : Neelacanta Sthanumoorthy,Kailash C. Misra
Publisher : American Mathematical Soc.
Page : 384 pages
File Size : 44,6 Mb
Release : 2004
Category : Kac-Moody algebras
ISBN : 9780821833377

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Kac-Moody Lie Algebras and Related Topics by Neelacanta Sthanumoorthy,Kailash C. Misra Pdf

This volume is the proceedings of the Ramanujan International Symposium on Kac-Moody Lie algebras and their applications. The symposium provided researchers in mathematics and physics with the opportunity to discuss new developments in this rapidly-growing area of research. The book contains several excellent articles with new and significant results. It is suitable for graduate students and researchers working in Kac-Moody Lie algebras, their applications, and related areas of research.

Author : Filippo Callegaro,Giovanna Carnovale,Fabrizio Caselli,Corrado De Concini,Alberto De Sole
Publisher : Springer
Page : 461 pages
File Size : 47,7 Mb
Release : 2017-12-07
Category : Mathematics
ISBN : 9783319589718

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Perspectives in Lie Theory by Filippo Callegaro,Giovanna Carnovale,Fabrizio Caselli,Corrado De Concini,Alberto De Sole Pdf

Lie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year 2014-2015. This book gathers the key outcomes of this period, addressing topics such as: structure and representation theory of vertex algebras, Lie algebras and superalgebras, as well as hyperplane arrangements with different approaches, ranging from geometry and topology to combinatorics.

Author : Naihuan Jing,Kailash C. Misra
Publisher : American Mathematical Soc.
Page : 233 pages
File Size : 44,8 Mb
Release : 2018-08-21
Category : Algebra
ISBN : 9781470436964

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Representations of Lie Algebras, Quantum Groups and Related Topics by Naihuan Jing,Kailash C. Misra Pdf

This volume contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held from November 12–13, 2016, at North Carolina State University, Raleigh, North Carolina. The articles cover various aspects of representations of Kac–Moody Lie algebras and their applications, structure of Leibniz algebras and Krichever–Novikov algebras, representations of quantum groups, and related topics.

Author : D. Winter
Publisher : Springer
Page : 243 pages
File Size : 41,5 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540392620

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Lie Algebras and Related Topics by D. Winter Pdf

Author : Yi-Zhi Huang,Kailash C. Misra
Publisher : American Mathematical Soc.
Page : 500 pages
File Size : 40,9 Mb
Release : 2007
Category : Lie algebras
ISBN : 9780821839867

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Lie Algebras, Vertex Operator Algebras and Their Applications by Yi-Zhi Huang,Kailash C. Misra Pdf

The articles in this book are based on talks given at the international conference 'Lie algebras, vertex operator algebras and their applications'. The focus of the papers is mainly on Lie algebras, quantum groups, vertex operator algebras and their applications to number theory, combinatorics and conformal field theory.

Author : Matthew Krauel,Michael Tuite,Gaywalee Yamskulna
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 51,7 Mb
Release : 2020-07-13
Category : Education
ISBN : 9781470449384

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Vertex Operator Algebras, Number Theory and Related Topics by Matthew Krauel,Michael Tuite,Gaywalee Yamskulna Pdf

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 center 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.

Author : Seok-Jin Kang,Symposium on Lie Algebras,Myung-Hwan Kim,Insok Lee
Publisher : American Mathematical Soc.
Page : 242 pages
File Size : 44,7 Mb
Release : 1996
Category : Lie algebras
ISBN : 9780821805121

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Lie Algebras and Their Representations by Seok-Jin Kang,Symposium on Lie Algebras,Myung-Hwan Kim,Insok Lee Pdf

Over the past 30 years, exciting developments in diverse areas of the theory of Lie algebras and their representations have been observed. The symposium covered topics such as Lie algebras and combinatorics, crystal bases for quantum groups, quantum groups and solvable lattice models, and modular and infinite-dimensional Lie algebras. In this volume, readers will find several excellent expository articles and research papers containing many significant new results in this area.

Author : David J. Winter
Publisher : Unknown
Page : 248 pages
File Size : 50,7 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662189283

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Lie Algebras and Related Topics by David J. Winter Pdf

Author : James Lepowsky,Haisheng Li
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 49,5 Mb
Release : 2004
Category : Mathematics
ISBN : 0817634088

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Introduction to Vertex Operator Algebras and Their Representations by James Lepowsky,Haisheng Li Pdf

The deep and relatively new field of vertex operator algebras is intimately related to a variety of areas in mathematics and physics: for example, the concepts of "monstrous moonshine," infinite-dimensional Lie theory, string theory, and conformal field theory. This book introduces the reader to the fundamental theory of vertex operator algebras and its basic techniques and examples. Beginning with a detailed presentation of the theoretical foundations and proceeding to a range of applications, the text includes a number of new, original results and also highlights and brings fresh perspective to important works of many researchers. After introducing the elementary "formal calculus'' underlying the subject, the book provides an axiomatic development of vertex operator algebras and their modules, expanding on the early contributions of R. Borcherds, I. Frenkel, J. Lepowsky, A. Meurman, Y.-Z. Huang, C. Dong, Y. Zhu and others. The concept of a "representation'' of a vertex (operator) algebra is treated in detail, following and extending the work of H. Li; this approach is used to construct important families of vertex (operator) algebras and their modules. Requiring only a familiarity with basic algebra, Introduction to Vertex Operator Algebras and Their Representations will be useful for graduate students and researchers in mathematics and physics. The booka??s presentation of the core topics will equip readers to embark on many active research directions related to vertex operator algebras, group theory, representation theory, and string theory.