Communications in Mathematical Physics

, Volume 192, Issue 3, pp 555–567

Demazure Modules and Perfect Crystals

  • Atsuo Kuniba
  • Kailash C. Misra
  • Masato Okado
  • Jun Uchiyama

DOI: 10.1007/s002200050309

Cite this article as:
Kuniba, A., Misra, K., Okado, M. et al. Comm Math Phys (1998) 192: 555. doi:10.1007/s002200050309

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.

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Atsuo Kuniba
    • 1
  • Kailash C. Misra
    • 2
  • Masato Okado
    • 3
  • Jun Uchiyama
    • 4
  1. 1.Institute of Physics, University of Tokyo, Komaba, Tokyo 153, JapanJP
  2. 2.Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USAUS
  3. 3.Department of Mathematics, The University of Melbourne, Parkville, Victoria, 3052, AustraliaAU
  4. 4.Department of Physics, Rikkyo University, Nishi-Ikebukuro, Tokyo 171, JapanJP