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Kazhdan-Lusztig Conjecture for A Symmetrizable Kac-Moody Lie Algebra

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The Grothendieck Festschrift

Part of the book series: Modern Birkhäuser Classics ((MBC))

Abstract

In recent years, with the progress of mathematical physics, it becomes more and more important to study systems with infinite freedom. In [K], we studied the flag variety of Kac-Moody Lie algebras, as a typical case of an infinite-dimensional manifold. By that study, it is revealed that the most natural language of scheme introduced by A. Grothendieck is again the most appropriate algebraic tool to deal with an infinite-dimensional manifold.

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References

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Author information

Authors and Affiliations

  1. R.I.M.S., Kyoto University, Kyoto, Japan

    Masaki Kashiwara

Authors
  1. Masaki Kashiwara
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Editor information

Editors and Affiliations

  1. Institut des Hautes Études Scientifiques, F-91440, Bures-sur-Yvette, France

    Pierre Cartier

  2. Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA

    Nicholas M. Katz

  3. Max-Planck Institut für Mathematik, D-53111, Bonn, Germany

    Yuri I. Manin

  4. Département de Mathématiques, Université de Paris-Sud, F-91405, Orsay, France

    Luc Illusie  & Gérard Laumon  & 

  5. Department of Mathematics, University of California, Berkeley, CA, 94720, USA

    Kenneth A. Ribet

Additional information

dedicated to Professor Alexandre Grothendieck on his sixtieth birthday

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© 2007 Birkhäuser Boston

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Kashiwara, M. (2007). Kazhdan-Lusztig Conjecture for A Symmetrizable Kac-Moody Lie Algebra. In: Cartier, P., Katz, N.M., Manin, Y.I., Illusie, L., Laumon, G., Ribet, K.A. (eds) The Grothendieck Festschrift. Modern Birkhäuser Classics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4575-5_10

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  • DOI: https://doi.org/10.1007/978-0-8176-4575-5_10

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  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-4567-0

  • Online ISBN: 978-0-8176-4575-5

  • eBook Packages: Springer Book Archive

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