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Kac-Moody Lie Algebras and Related Topics
 
Edited by: N. Sthanumoorthy University of Madras, Chennai, India
Kailash C. Misra North Carolina State University, Raleigh, NC
Kac-Moody Lie Algebras and Related Topics
eBook ISBN:  978-0-8218-7933-7
Product Code:  CONM/343.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Kac-Moody Lie Algebras and Related Topics
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Kac-Moody Lie Algebras and Related Topics
Edited by: N. Sthanumoorthy University of Madras, Chennai, India
Kailash C. Misra North Carolina State University, Raleigh, NC
eBook ISBN:  978-0-8218-7933-7
Product Code:  CONM/343.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3432004; 370 pp
    MSC: Primary 16; 17; 22; 81; Secondary 20

    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.

    Readership

    Graduate students and research mathematicians interested in Kac-Moody Lie algebras and their applications in mathematics and mathematical physics.

  • Table of Contents
     
     
    • Articles
    • Dražen Adamović — Regularity of certain vertex operator superalgebras [ MR 2056677 ]
    • Viktor Bekkert, Georgia Benkart and Vyacheslav Futorny — Weight modules for Weyl algebras [ MR 2056678 ]
    • Etsuro Date and Kosuke Usami — On an analog of the Onsager algebra of type $D^{(1)}_n$ [ MR 2056679 ]
    • Alex J. Feingold — Fusion rules for affine Kac-Moody algebras [ MR 2056680 ]
    • Alex J. Feingold and Hermann Nicolai — Subalgebras of hyperbolic Kac-Moody algebras [ MR 2056681 ]
    • Jürgen Fuchs, Ingo Runkel and Christoph Schweigert — Lie algebras, Fuchsian differential equations and CFT correlation functions [ MR 2056682 ]
    • Yi-Zhi Huang — Conformal-field-theoretic analogues of codes and lattices [ MR 2056683 ]
    • Hans Plesner Jakobsen and C.-W. Herbert Lee — Matrix chain models and Kac-Moody algebras [ MR 2056684 ]
    • Kailash C. Misra and Vicky Williams — Combinatorics of quantum affine Lie algebra representations [ MR 2056685 ]
    • Hermann Nicolai and Thomas Fischbacher — Low level representations for $E_{10}$ and $E_{11}$ [ MR 2056686 ]
    • Mirko Primc — Generators of relations for annihilating fields [ MR 2056687 ]
    • S. Eswara Rao and K. Zhao — On integrable representations for toroidal Lie superalgebras [ MR 2056688 ]
    • N. Sthanumoorthy and C. Kiruba Bagirathi — Principal vertex operators and super Hirota bilinear equations for $B^{(1)}_3$ [ MR 2056689 ]
    • N. Sthanumoorthy and P. L. Lilly — On some classes of root systems of generalized Kac-Moody algebras [ MR 2056690 ]
    • N. Sthanumoorthy, P. L. Lilly and A. Uma Maheswari — Root multiplicities of some classes of extended-hyperbolic Kac-Moody and extended-hyperbolic generalized Kac-Moody algebras [ MR 2056691 ]
    • V. N. Tolstoy — From quantum affine Kac-Moody algebras to Drinfeldians and Yangians [ MR 2056692 ]
  • 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: 3432004; 370 pp
MSC: Primary 16; 17; 22; 81; Secondary 20

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.

Readership

Graduate students and research mathematicians interested in Kac-Moody Lie algebras and their applications in mathematics and mathematical physics.

  • Articles
  • Dražen Adamović — Regularity of certain vertex operator superalgebras [ MR 2056677 ]
  • Viktor Bekkert, Georgia Benkart and Vyacheslav Futorny — Weight modules for Weyl algebras [ MR 2056678 ]
  • Etsuro Date and Kosuke Usami — On an analog of the Onsager algebra of type $D^{(1)}_n$ [ MR 2056679 ]
  • Alex J. Feingold — Fusion rules for affine Kac-Moody algebras [ MR 2056680 ]
  • Alex J. Feingold and Hermann Nicolai — Subalgebras of hyperbolic Kac-Moody algebras [ MR 2056681 ]
  • Jürgen Fuchs, Ingo Runkel and Christoph Schweigert — Lie algebras, Fuchsian differential equations and CFT correlation functions [ MR 2056682 ]
  • Yi-Zhi Huang — Conformal-field-theoretic analogues of codes and lattices [ MR 2056683 ]
  • Hans Plesner Jakobsen and C.-W. Herbert Lee — Matrix chain models and Kac-Moody algebras [ MR 2056684 ]
  • Kailash C. Misra and Vicky Williams — Combinatorics of quantum affine Lie algebra representations [ MR 2056685 ]
  • Hermann Nicolai and Thomas Fischbacher — Low level representations for $E_{10}$ and $E_{11}$ [ MR 2056686 ]
  • Mirko Primc — Generators of relations for annihilating fields [ MR 2056687 ]
  • S. Eswara Rao and K. Zhao — On integrable representations for toroidal Lie superalgebras [ MR 2056688 ]
  • N. Sthanumoorthy and C. Kiruba Bagirathi — Principal vertex operators and super Hirota bilinear equations for $B^{(1)}_3$ [ MR 2056689 ]
  • N. Sthanumoorthy and P. L. Lilly — On some classes of root systems of generalized Kac-Moody algebras [ MR 2056690 ]
  • N. Sthanumoorthy, P. L. Lilly and A. Uma Maheswari — Root multiplicities of some classes of extended-hyperbolic Kac-Moody and extended-hyperbolic generalized Kac-Moody algebras [ MR 2056691 ]
  • V. N. Tolstoy — From quantum affine Kac-Moody algebras to Drinfeldians and Yangians [ MR 2056692 ]
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.