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Perverse Sheaves and Quantum Grothedieck Rings

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Studies in Memory of Issai Schur

Part of the book series: Progress in Mathematics ((PM,volume 210))

Abstract

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.

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Varagnolo, M., Vasserot, E. (2003). Perverse Sheaves and Quantum Grothedieck Rings. In: Joseph, A., Melnikov, A., Rentschler, R. (eds) Studies in Memory of Issai Schur. Progress in Mathematics, vol 210. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0045-1_13

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  • DOI: https://doi.org/10.1007/978-1-4612-0045-1_13

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6587-0

  • Online ISBN: 978-1-4612-0045-1

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