Representation Theory of the Virasoro Algebra - Springer Monographs in Mathematics (Hardback)
  • Representation Theory of the Virasoro Algebra - Springer Monographs in Mathematics (Hardback)
zoom

Representation Theory of the Virasoro Algebra - Springer Monographs in Mathematics (Hardback)

(author), (author)
£79.99
Hardback 474 Pages / Published: 25/11/2010
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket

The Virasoro algebra is an infinite dimensional Lie algebra that plays an increasingly important role in mathematics and theoretical physics. This book describes some fundamental facts about the representation theory of the Virasoro algebra in a self-contained manner. Topics include the structure of Verma modules and Fock modules, the classification of (unitarizable) Harish-Chandra modules, tilting equivalence, and the rational vertex operator algebras associated to the so-called minimal series representations.

Covering a wide range of material, this book has three appendices which provide background information required for some of the chapters. The authors organize fundamental results in a unified way and refine existing proofs. For instance in chapter three, a generalization of Jantzen filtration is reformulated in an algebraic manner, and geometric interpretation is provided. Statements, widely believed to be true, are collated, and results which are known but not verified are proven, such as the corrected structure theorem of Fock modules in chapter eight.

This book will be of interest to a wide range of mathematicians and physicists from the level of graduate students to researchers.

Publisher: Springer London Ltd
ISBN: 9780857291592
Number of pages: 474
Weight: 1910 g
Dimensions: 235 x 155 x 26 mm
Edition: 2011 ed.


MEDIA REVIEWS

From the reviews:

"The book under review collects many classical results on representations of the Virasoro algebra and can be used both as a reference source and as a textbook." (Volodymyr Mazorchuk, Mathematical Reviews, Issue 2011 m)

"The aim of the book is to describe fundamental facts about the representation theory of the Virasoro algebras in a self-contained manner. ... At the end of each chapter are bibliographical notes and comments, and some times some extra appendices. A quick guide for further reading of some topics that are not treated in this book is presented, as well as a comprehensive list of references." (Daniel Bulacu, Zentralblatt MATH, Vol. 1222, 2011)

You may also be interested in...

Introduction to Graph Theory
Added to basket
Basic Linear Algebra
Added to basket
£24.95
Paperback
Galois Theory, Fourth Edition
Added to basket
Edexcel Award in Algebra Level 3 Workbook
Added to basket
Linear Algebra Done Right
Added to basket
Linear Algebra Demystified
Added to basket
Calculus
Added to basket
£274.99
Hardback
Elliptic Tales
Added to basket
£13.99
Paperback
Maths for Chemistry
Added to basket
£29.99
Paperback
Algebra I Essentials For Dummies
Added to basket
Book of Abstract Algebra
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.