Tensor Categories For Vertex Operator Superalgebra Extensions PDF Download
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Author | : Thomas Creutzig |
Publisher | : American Mathematical Society |
Total Pages | : 194 |
Release | : 2024-04-17 |
Genre | : Mathematics |
ISBN | : 1470467240 |
Download Tensor Categories for Vertex Operator Superalgebra Extensions Book in PDF, ePub and Kindle
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Author | : Dražen Adamović |
Publisher | : Springer Nature |
Total Pages | : 218 |
Release | : 2019-11-28 |
Genre | : Mathematics |
ISBN | : 3030329062 |
Download Affine, Vertex and W-algebras Book in PDF, ePub and Kindle
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.
Author | : Thomas Creutzig |
Publisher | : American Mathematical Soc. |
Total Pages | : 168 |
Release | : 2018-07-20 |
Genre | : Geometry, Algebraic |
ISBN | : 1470437171 |
Download Vertex Algebras and Geometry Book in PDF, ePub and Kindle
This book contains the proceedings of the AMS Special Session on Vertex Algebras and Geometry, held from October 8–9, 2016, and the mini-conference on Vertex Algebras, held from October 10–11, 2016, in Denver, Colorado. The papers cover vertex algebras in connection with geometry and tensor categories, with topics in vertex rings, chiral algebroids, the Higgs branch conjecture, and applicability and use of vertex tensor categories.
Author | : Brandon Doherty |
Publisher | : American Mathematical Society |
Total Pages | : 122 |
Release | : 2024-06-07 |
Genre | : Mathematics |
ISBN | : 1470468948 |
Download Cubical Models of $(infty ,1)$-Categories Book in PDF, ePub and Kindle
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Author | : Masao Oi |
Publisher | : American Mathematical Society |
Total Pages | : 174 |
Release | : 2024-06-07 |
Genre | : Mathematics |
ISBN | : 1470469561 |
Download Simple Supercuspidal $L$-Packets of Quasi-Split Classical Groups Book in PDF, ePub and Kindle
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Author | : David Burns |
Publisher | : American Mathematical Society |
Total Pages | : 168 |
Release | : 2024-06-07 |
Genre | : Mathematics |
ISBN | : 1470469669 |
Download On Refined Conjectures of Birch and Swinnerton-Dyer Type for Hasse–Weil–Artin $L$-Series Book in PDF, ePub and Kindle
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Author | : M. Gekhtman |
Publisher | : American Mathematical Society |
Total Pages | : 116 |
Release | : 2024-06-07 |
Genre | : Mathematics |
ISBN | : 1470469707 |
Download A Plethora of Cluster Structures on $GL_n$ Book in PDF, ePub and Kindle
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Author | : David Ayala |
Publisher | : American Mathematical Society |
Total Pages | : 272 |
Release | : 2024-06-07 |
Genre | : Mathematics |
ISBN | : 1470469626 |
Download Stratified Noncommutative Geometry Book in PDF, ePub and Kindle
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Author | : Pavel Etingof |
Publisher | : American Mathematical Soc. |
Total Pages | : 362 |
Release | : 2016-08-05 |
Genre | : Mathematics |
ISBN | : 1470434415 |
Download Tensor Categories Book in PDF, ePub and Kindle
Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.
Author | : Katrina Barron |
Publisher | : American Mathematical Soc. |
Total Pages | : 274 |
Release | : 2017-08-15 |
Genre | : Lie algebras |
ISBN | : 1470426668 |
Download Lie Algebras, Vertex Operator Algebras, and Related Topics Book in PDF, ePub and Kindle
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.