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Infinite-Dimensional Aspects of Representation Theory and Applications
 
Edited by: Stephen Berman University of Saskatchewan, Saskatchewan, SK, Canada
Brian Parshall University of Virginia, Charlottesville, VA
Leonard Scott University of Virginia, Charlottesville, VA
Weiqiang Wang University of Virginia, Charlottesville, VA
Front Cover for Infinite-Dimensional Aspects of Representation Theory and Applications
Available Formats:
Softcover ISBN: 978-0-8218-3701-6
Product Code: CONM/392
154 pp 
List Price: $61.00
MAA Member Price: $54.90
AMS Member Price: $48.80
Electronic ISBN: 978-0-8218-7982-5
Product Code: CONM/392.E
154 pp 
List Price: $57.00
MAA Member Price: $51.30
AMS Member Price: $45.60
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: $91.50
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AMS Member Price: $73.20
Front Cover for Infinite-Dimensional Aspects of Representation Theory and Applications
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  • Front Cover for Infinite-Dimensional Aspects of Representation Theory and Applications
  • Back Cover for Infinite-Dimensional Aspects of Representation Theory and Applications
Infinite-Dimensional Aspects of Representation Theory and Applications
Edited by: Stephen Berman University of Saskatchewan, Saskatchewan, SK, Canada
Brian Parshall University of Virginia, Charlottesville, VA
Leonard Scott University of Virginia, Charlottesville, VA
Weiqiang Wang University of Virginia, Charlottesville, VA
Available Formats:
Softcover ISBN:  978-0-8218-3701-6
Product Code:  CONM/392
154 pp 
List Price: $61.00
MAA Member Price: $54.90
AMS Member Price: $48.80
Electronic ISBN:  978-0-8218-7982-5
Product Code:  CONM/392.E
154 pp 
List Price: $57.00
MAA Member Price: $51.30
AMS Member Price: $45.60
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: $91.50
MAA Member Price: $82.35
AMS Member Price: $73.20
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3922005
    MSC: Primary 14; 16; 17; 20; 82;

    The University of Virginia (Charlottesville) hosted an international conference on Infinite-dimensional Aspects of Representation Theory and Applications. This volume contains papers resulting from the mini-courses and talks given at the meeting.

    Beyond the techniques and ideas related to representation theory, the book demonstrates connections to number theory, algebraic geometry, and mathematical physics. Specific topics covered include Hecke algebras, quantum groups, infinite-dimensional Lie algebras, quivers, modular representations, and Gromov-Witten invariants.

    The book is suitable for graduate students and researchers interested in representation theory.

    Readership

    Graduate students and research mathematicians interested in representation theory.

  • Table of Contents
     
     
    • Articles
    • Susumu Ariki - Modular representation theory of Hecke algebras, a survey [ MR 2189866 ]
    • Vyjayanthi Chari and Jacob Greenstein - An application of free Lie algebras to polynomial current algebras and their representation theory [ MR 2189867 ]
    • Nicolas Jacon - Canonical basic sets for Hecke algebras [ MR 2189868 ]
    • Michael Lau - On universal central extensions of $\mathfrak {s}\mathfrak {l}_n(A)$ [ MR 2189869 ]
    • Haisheng Li - Pseudoderivations, pseudoautomorphisms and simple current modules for vertex algebras [ MR 2189870 ]
    • Wei-Ping Li, Zhenbo Qin and Weiqiang Wang - Hilbert scheme intersection numbers, Hurwitz numbers, and Gromov-Witten invariants [ MR 2189871 ]
    • Kailash C. Misra - On Demazure crystals for $U_q(D^{(3)}_4)$ [ MR 2189872 ]
    • E. Mukhin and A. Varchenko - Populations of solutions of the $XXX$ Bethe equations associated to Kac-Moody algebras [ MR 2189873 ]
    • Raphaël Rouquier - Representations of rational Cherednik algebras [ MR 2189874 ]
    • Alistair Savage - A geometric construction of crystal graphs using quiver varieties: extension to the non-simply laced case [ MR 2189875 ]
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Volume: 3922005
MSC: Primary 14; 16; 17; 20; 82;

The University of Virginia (Charlottesville) hosted an international conference on Infinite-dimensional Aspects of Representation Theory and Applications. This volume contains papers resulting from the mini-courses and talks given at the meeting.

Beyond the techniques and ideas related to representation theory, the book demonstrates connections to number theory, algebraic geometry, and mathematical physics. Specific topics covered include Hecke algebras, quantum groups, infinite-dimensional Lie algebras, quivers, modular representations, and Gromov-Witten invariants.

The book is suitable for graduate students and researchers interested in representation theory.

Readership

Graduate students and research mathematicians interested in representation theory.

  • Articles
  • Susumu Ariki - Modular representation theory of Hecke algebras, a survey [ MR 2189866 ]
  • Vyjayanthi Chari and Jacob Greenstein - An application of free Lie algebras to polynomial current algebras and their representation theory [ MR 2189867 ]
  • Nicolas Jacon - Canonical basic sets for Hecke algebras [ MR 2189868 ]
  • Michael Lau - On universal central extensions of $\mathfrak {s}\mathfrak {l}_n(A)$ [ MR 2189869 ]
  • Haisheng Li - Pseudoderivations, pseudoautomorphisms and simple current modules for vertex algebras [ MR 2189870 ]
  • Wei-Ping Li, Zhenbo Qin and Weiqiang Wang - Hilbert scheme intersection numbers, Hurwitz numbers, and Gromov-Witten invariants [ MR 2189871 ]
  • Kailash C. Misra - On Demazure crystals for $U_q(D^{(3)}_4)$ [ MR 2189872 ]
  • E. Mukhin and A. Varchenko - Populations of solutions of the $XXX$ Bethe equations associated to Kac-Moody algebras [ MR 2189873 ]
  • Raphaël Rouquier - Representations of rational Cherednik algebras [ MR 2189874 ]
  • Alistair Savage - A geometric construction of crystal graphs using quiver varieties: extension to the non-simply laced case [ MR 2189875 ]
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