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Demazure Modules and Perfect Crystals

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Abstract:

We give a criterion for the Demazure crystal defined by Kashiwara to have a tensor product structure. We study the symmetric tensor case, and see some Demazure characters are expressed using Kostka-Foulkes polynomials.

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Authors and Affiliations

  1. Institute of Physics, University of Tokyo, Komaba, Tokyo 153, Japan, , , , , , JP

    Atsuo Kuniba

  2. Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA, , , , , , US

    Kailash C. Misra

  3. Department of Mathematics, The University of Melbourne, Parkville, Victoria, 3052, Australia, , , , , , AU

    Masato Okado

  4. Department of Physics, Rikkyo University, Nishi-Ikebukuro, Tokyo 171, Japan, , , , , , JP

    Jun Uchiyama

Authors
  1. Atsuo Kuniba
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  2. Kailash C. Misra
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  3. Masato Okado
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  4. Jun Uchiyama
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Received: 29 August 1996 / Accepted: 18 July 1997

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Kuniba, A., Misra, K., Okado, M. et al. Demazure Modules and Perfect Crystals . Comm Math Phys 192, 555–567 (1998). https://doi.org/10.1007/s002200050309

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  • DOI: https://doi.org/10.1007/s002200050309

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