Perverse Sheaves and Quantum Grothedieck Rings

  • M. Varagnolo
  • E. Vasserot
Part of the Progress in Mathematics book series (PM, volume 210)


We give a geometric construction of a deformation of the Grothendieck ring of finite-dimensional representations of quantized affine algebras. It yields a positivity result for products of some canonical element. In the classical case, related partial results are given on tensor categories of representations of simple Lie algebras.


Quantum Group Direct Summand Full Subcategory Tensor Category Perverse Sheave 
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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • M. Varagnolo
    • 1
  • E. Vasserot
    • 1
  1. 1.Département de MathématiquesUniversité de Cergy-PontoiseCergy-Pontoise CedexFrance

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