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Infinite-Dimensional Aspects of Representation Theory and Applications

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Infinite-Dimensional Aspects of Representation Theory and Applications

Infinite-Dimensional Aspects of Representation Theory and Applications

International Conference on Infinite-Dimensional Aspects of Representation Theory and Applications May 18-22, 2004 University of Virginia Charlottesville, Virginia

- Collection Contemporary Mathematics

154 pages, parution le 26/01/2006

Résumé

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.

Sommaire

  • Modular representation theory of Hecke algebras, a survey
  • An application of free Lie algebras to polynomial current algebras and their representation theory
  • Canonical basic sets for Hecke algebras
  • On Universal Central Extensions of sln(A)
  • Pseudoderivations, pseudoautomorphisms and simple current modules for vertex algebras
  • Hilbert scheme intersection numbers, Hurwitz numbers, and Gromov-Witten invariants
  • On Demazure crystals for Uq(D43 )
  • Populations of solutions of the XXX Bethe equations associated to Kac-Moody algebras
  • Representations of rational Cherednik algebras
  • A geometric construction of crystal graphs using quiver varieties: extension to the non-simply laced case
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Caractéristiques techniques du livre "Infinite-Dimensional Aspects of Representation Theory and Applications"

  PAPIER
Éditeur(s) American Mathematical Society (AMS)
Auteur(s) Stephen Berman, Brian Parshall, Leonard Scott, Weiqiang Wang
Collection Contemporary Mathematics
Parution 26/01/2006
Nb. de pages 154
Format 17,5 x 25
Couverture Broché
Poids 320g
Intérieur Noir et Blanc
EAN13 9780821837016
ISBN13 978-0-8218-3701-6

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