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Lie Algebras, Vertex Operator Algebras, and Related Topics
 
Edited by: Katrina Barron University of Notre Dame, Notre Dame, IN
Elizabeth Jurisich College of Charleston, Charleston, SC
Antun Milas SUNY at Albany, Albany, NY
Kailash Misra North Carolina State University, Raleigh, NC
Lie Algebras, Vertex Operator Algebras, and Related Topics
Softcover ISBN:  978-1-4704-2666-8
Product Code:  CONM/695
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-4196-8
Product Code:  CONM/695.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-2666-8
eBook: ISBN:  978-1-4704-4196-8
Product Code:  CONM/695.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Lie Algebras, Vertex Operator Algebras, and Related Topics
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Lie Algebras, Vertex Operator Algebras, and Related Topics
Edited by: Katrina Barron University of Notre Dame, Notre Dame, IN
Elizabeth Jurisich College of Charleston, Charleston, SC
Antun Milas SUNY at Albany, Albany, NY
Kailash Misra North Carolina State University, Raleigh, NC
Softcover ISBN:  978-1-4704-2666-8
Product Code:  CONM/695
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-4196-8
Product Code:  CONM/695.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-2666-8
eBook ISBN:  978-1-4704-4196-8
Product Code:  CONM/695.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 6952017; 274 pp
    MSC: Primary 17; 18; 32; 81

    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.

    Readership

    Graduate students and research mathematicians interested in representation theory, vertex algebras, conformal field theory and related areas.

  • Table of Contents
     
     
    • Articles
    • Darlayne Addabbo and Maarten Bergvelt — Generalizations of $Q$-systems and orthogonal polynomials from representation theory
    • Dražen Adamović and Antun Milas — Some applications and constructions of intertwining operators in Logarithmic Conformal Field Theory
    • Ling Bao and Lisa Carbone — Kac–Moody groups and automorphic forms in low dimensional supergravity theories
    • Kathrin Bringmann, Karl Mahlburg and Antun Milas — The Lusztig-Macdonald-Wall polynomial conjectures and $q$-difference equations
    • Lisa Carbone and Frank Wagner — Uniqueness of representation–theoretic hyperbolic Kac–Moody groups over $\mathbb {Z}$
    • Jürgen Fuchs and Christoph Schweigert — Coends in conformal field theory
    • Haisheng Li — Remarks on $\phi $-coordinated modules for quantum vertex algebras
    • André Henriques — The classification of chiral WZW models by $H^4_+(BG,\mathbb {Z})$
    • Yi-Zhi Huang — Some open problems in mathematical two-dimensional conformal field theory
    • Naihuan Jing, Chad R. Mangum and Kailash C. Misra — On realization of some twisted toroidal Lie algebras
    • James Lepowsky and Jinwei Yang — Twisted generating functions incorporating singular vectors in Verma modules and their localizations, I
    • Yusuke Arike, Kiyokazu Nagatomo and Yuichi Sakai — Characterization of the simple Virasoro vertex operator algebras with 2 and 3-dimensional space of characters
    • David Radnell, Eric Schippers and Wolfgang Staubach — Quasiconformal Teichmüller theory as an analytical foundation for two-dimensional conformal field theory
    • A. M. Semikhatov — Centralizing the centralizers
    • Nolan R. Wallach — On Neeman’s gradient flows
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 6952017; 274 pp
MSC: Primary 17; 18; 32; 81

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.

Readership

Graduate students and research mathematicians interested in representation theory, vertex algebras, conformal field theory and related areas.

  • Articles
  • Darlayne Addabbo and Maarten Bergvelt — Generalizations of $Q$-systems and orthogonal polynomials from representation theory
  • Dražen Adamović and Antun Milas — Some applications and constructions of intertwining operators in Logarithmic Conformal Field Theory
  • Ling Bao and Lisa Carbone — Kac–Moody groups and automorphic forms in low dimensional supergravity theories
  • Kathrin Bringmann, Karl Mahlburg and Antun Milas — The Lusztig-Macdonald-Wall polynomial conjectures and $q$-difference equations
  • Lisa Carbone and Frank Wagner — Uniqueness of representation–theoretic hyperbolic Kac–Moody groups over $\mathbb {Z}$
  • Jürgen Fuchs and Christoph Schweigert — Coends in conformal field theory
  • Haisheng Li — Remarks on $\phi $-coordinated modules for quantum vertex algebras
  • André Henriques — The classification of chiral WZW models by $H^4_+(BG,\mathbb {Z})$
  • Yi-Zhi Huang — Some open problems in mathematical two-dimensional conformal field theory
  • Naihuan Jing, Chad R. Mangum and Kailash C. Misra — On realization of some twisted toroidal Lie algebras
  • James Lepowsky and Jinwei Yang — Twisted generating functions incorporating singular vectors in Verma modules and their localizations, I
  • Yusuke Arike, Kiyokazu Nagatomo and Yuichi Sakai — Characterization of the simple Virasoro vertex operator algebras with 2 and 3-dimensional space of characters
  • David Radnell, Eric Schippers and Wolfgang Staubach — Quasiconformal Teichmüller theory as an analytical foundation for two-dimensional conformal field theory
  • A. M. Semikhatov — Centralizing the centralizers
  • Nolan R. Wallach — On Neeman’s gradient flows
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.