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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
Infinite-Dimensional Aspects of Representation Theory and Applications
eBook ISBN:  978-0-8218-7982-5
Product Code:  CONM/392.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Infinite-Dimensional Aspects of Representation Theory and Applications
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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
eBook ISBN:  978-0-8218-7982-5
Product Code:  CONM/392.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3922005; 154 pp
    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 ]
  • 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: 3922005; 154 pp
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 ]
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
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