Lie Algebras Lie Superalgebras Vertex Algebras And Related Topics
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| Author | : Kailash C. Misra |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 370 |
| Release | : 2016-06-28 |
| Genre | : Mathematics |
| ISBN | : 1470418444 |
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 | : Katrina Barron |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 282 |
| Release | : 2017-08-15 |
| Genre | : Mathematics |
| ISBN | : 1470426668 |
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 | : Kailash C. Misra |
| Publisher | : |
| Total Pages | : |
| Release | : 2016 |
| Genre | : Group theory and generalizations |
| ISBN | : 9781470430139 |
| Author | : Georgia Benkart |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 352 |
| Release | : 1990 |
| Genre | : Mathematics |
| ISBN | : 0821851195 |
Discusses the problem of determining the finite-dimensional simple Lie algebras over an algebraically closed field of characteristic $p>7$. This book includes topics such as Lie algebras of prime characteristic, algebraic groups, combinatorics and representation theory, and Kac-Moody and Virasoro algebras.
| Author | : Maria Gorelik |
| Publisher | : Springer Science & Business |
| Total Pages | : 281 |
| Release | : 2014-04-28 |
| Genre | : Mathematics |
| ISBN | : 3319029525 |
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 | : Daniel J. Britten |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 398 |
| Release | : 1986 |
| Genre | : Mathematics |
| ISBN | : 9780821860090 |
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 | : Filippo Callegaro |
| Publisher | : Springer |
| Total Pages | : 465 |
| Release | : 2017-12-07 |
| Genre | : Mathematics |
| ISBN | : 3319589717 |
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 | : D. Winter |
| Publisher | : Springer |
| Total Pages | : 243 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540392629 |
| Author | : Yi-Zhi Huang |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 500 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 0821839861 |
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 | : James Lepowsky |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 330 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 0817681868 |
* Introduces the fundamental theory of vertex operator algebras and its basic techniques and examples. * Begins with a detailed presentation of the theoretical foundations and proceeds to a range of applications. * Includes a number of new, original results and brings fresh perspective to important works of many other researchers in algebra, lie theory, representation theory, string theory, quantum field theory, and other areas of math and physics.
