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Quantum Affine Algebras, Extended Affine Lie Algebras, and Their Applications
 
Edited by: Yun Gao York University, Toronto, ON, Canada
Naihuan Jing North Carolina State University, Raleigh, NC
Michael Lau University of Windsor, Windsor, ON, Canada
Kailash C. Misra North Carolina State University, Raleigh, NC
Front Cover for Quantum Affine Algebras, Extended Affine Lie Algebras, and Their Applications
Available Formats:
Softcover ISBN: 978-0-8218-4507-3
Product Code: CONM/506
302 pp 
List Price: $100.00
MAA Member Price: $90.00
AMS Member Price: $80.00
Electronic ISBN: 978-0-8218-8185-9
Product Code: CONM/506.E
302 pp 
List Price: $94.00
MAA Member Price: $84.60
AMS Member Price: $75.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $150.00
MAA Member Price: $135.00
AMS Member Price: $120.00
Front Cover for Quantum Affine Algebras, Extended Affine Lie Algebras, and Their Applications
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  • Front Cover for Quantum Affine Algebras, Extended Affine Lie Algebras, and Their Applications
  • Back Cover for Quantum Affine Algebras, Extended Affine Lie Algebras, and Their Applications
Quantum Affine Algebras, Extended Affine Lie Algebras, and Their Applications
Edited by: Yun Gao York University, Toronto, ON, Canada
Naihuan Jing North Carolina State University, Raleigh, NC
Michael Lau University of Windsor, Windsor, ON, Canada
Kailash C. Misra North Carolina State University, Raleigh, NC
Available Formats:
Softcover ISBN:  978-0-8218-4507-3
Product Code:  CONM/506
302 pp 
List Price: $100.00
MAA Member Price: $90.00
AMS Member Price: $80.00
Electronic ISBN:  978-0-8218-8185-9
Product Code:  CONM/506.E
302 pp 
List Price: $94.00
MAA Member Price: $84.60
AMS Member Price: $75.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $150.00
MAA Member Price: $135.00
AMS Member Price: $120.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5062010
    MSC: Primary 17;

    This volume contains the proceedings of the conference on Quantum Affine Algebras, Extended Affine Lie Algebras, and Applications, which was held at the Banff International Research Station, Banff, Canada, from March 2–7, 2008.

    Many of the papers include new results on different aspects of quantum affine algebras, extended affine Lie algebras, and their applications in other areas of mathematics and physics. Any reader interested in learning about the recent developments in quantum affine algebras and extended affine Lie algebras will benefit from this book.

    Readership

    Graduate students and research mathematicians interested in affine Lie algebras and their generalizations.

  • Table of Contents
     
     
    • Articles
    • Bruce Allison and Georgia Benkart - Unitary Lie algebras and Lie tori of type ${\rm BC}_r,\ r\ge 3$ [ MR 2642560 ]
    • Vyjayanthi Chari and David Hernandez - Beyond Kirillov-Reshetikhin modules [ MR 2642561 ]
    • Xueqing Chen and Ki-Bong Nam - Root vectors and an integral PBW basis of composition algebra of the valued graph $A_2^{(2)}$ [ MR 2642562 ]
    • Ben Cox, Vyacheslav Futorny and Kailash C. Misra - Imaginary Verma modules and Kashiwara algebras for $U_q(\widehat {\mathfrak {sl}(2)})$ [ MR 2642563 ]
    • Ghislain Fourier, Masato Okado and Anne Schilling - Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types [ MR 2642564 ]
    • Yufeng Pei, Naihong Hu and Marc Rosso - Multi-parameter quantum groups and quantum shuffles. I [ MR 2642565 ]
    • Jun Morita - Tilings, Lie theory and combinatorics [ MR 2642566 ]
    • E. Mukhin, V. Tarasov and A. Varchenko - The $\mathfrak {gl}_2$ Bethe algebra associated with a nilpotent element [ MR 2642567 ]
    • Mana Igarashi and Toshiki Nakashima - Affine geometric crystal of type $D_4^{(3)}$ [ MR 2642568 ]
    • Karl-Hermann Neeb - Unitary highest weight modules of locally affine Lie algebras [ MR 2642569 ]
    • Prasad Senesi - Finite-dimensional representation theory of loop algebras: a survey [ MR 2642570 ]
    • Yoji Yoshii - Locally extended affine root systems [ MR 2642571 ]
  • Additional Material
     
     
  • Request Review Copy
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Volume: 5062010
MSC: Primary 17;

This volume contains the proceedings of the conference on Quantum Affine Algebras, Extended Affine Lie Algebras, and Applications, which was held at the Banff International Research Station, Banff, Canada, from March 2–7, 2008.

Many of the papers include new results on different aspects of quantum affine algebras, extended affine Lie algebras, and their applications in other areas of mathematics and physics. Any reader interested in learning about the recent developments in quantum affine algebras and extended affine Lie algebras will benefit from this book.

Readership

Graduate students and research mathematicians interested in affine Lie algebras and their generalizations.

  • Articles
  • Bruce Allison and Georgia Benkart - Unitary Lie algebras and Lie tori of type ${\rm BC}_r,\ r\ge 3$ [ MR 2642560 ]
  • Vyjayanthi Chari and David Hernandez - Beyond Kirillov-Reshetikhin modules [ MR 2642561 ]
  • Xueqing Chen and Ki-Bong Nam - Root vectors and an integral PBW basis of composition algebra of the valued graph $A_2^{(2)}$ [ MR 2642562 ]
  • Ben Cox, Vyacheslav Futorny and Kailash C. Misra - Imaginary Verma modules and Kashiwara algebras for $U_q(\widehat {\mathfrak {sl}(2)})$ [ MR 2642563 ]
  • Ghislain Fourier, Masato Okado and Anne Schilling - Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types [ MR 2642564 ]
  • Yufeng Pei, Naihong Hu and Marc Rosso - Multi-parameter quantum groups and quantum shuffles. I [ MR 2642565 ]
  • Jun Morita - Tilings, Lie theory and combinatorics [ MR 2642566 ]
  • E. Mukhin, V. Tarasov and A. Varchenko - The $\mathfrak {gl}_2$ Bethe algebra associated with a nilpotent element [ MR 2642567 ]
  • Mana Igarashi and Toshiki Nakashima - Affine geometric crystal of type $D_4^{(3)}$ [ MR 2642568 ]
  • Karl-Hermann Neeb - Unitary highest weight modules of locally affine Lie algebras [ MR 2642569 ]
  • Prasad Senesi - Finite-dimensional representation theory of loop algebras: a survey [ MR 2642570 ]
  • Yoji Yoshii - Locally extended affine root systems [ MR 2642571 ]
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