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 |
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 |
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Book DetailsContemporary MathematicsVolume: 392; 2005; 154 ppMSC: 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.
ReadershipGraduate students and research mathematicians interested in representation theory.
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Table of Contents
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Articles
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Susumu Ariki — Modular representation theory of Hecke algebras, a survey [ MR 2189866 ]
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Vyjayanthi Chari and Jacob Greenstein — An application of free Lie algebras to polynomial current algebras and their representation theory [ MR 2189867 ]
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Nicolas Jacon — Canonical basic sets for Hecke algebras [ MR 2189868 ]
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Michael Lau — On universal central extensions of $\mathfrak {s}\mathfrak {l}_n(A)$ [ MR 2189869 ]
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Haisheng Li — Pseudoderivations, pseudoautomorphisms and simple current modules for vertex algebras [ MR 2189870 ]
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Wei-Ping Li, Zhenbo Qin and Weiqiang Wang — Hilbert scheme intersection numbers, Hurwitz numbers, and Gromov-Witten invariants [ MR 2189871 ]
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Kailash C. Misra — On Demazure crystals for $U_q(D^{(3)}_4)$ [ MR 2189872 ]
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E. Mukhin and A. Varchenko — Populations of solutions of the $XXX$ Bethe equations associated to Kac-Moody algebras [ MR 2189873 ]
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Raphaël Rouquier — Representations of rational Cherednik algebras [ MR 2189874 ]
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Alistair Savage — A geometric construction of crystal graphs using quiver varieties: extension to the non-simply laced case [ MR 2189875 ]
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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.
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 ]