Communications in Mathematical Physics

, Volume 134, Issue 1, pp 79–88

Crystal base for the basic representation of\(U_q (\widehat{\mathfrak{s}\mathfrak{l}}(n))\)

  • Kailash C. Misra
  • Tetsuji Miwa
Article

DOI: 10.1007/BF02102090

Cite this article as:
Misra, K.C. & Miwa, T. Commun.Math. Phys. (1990) 134: 79. doi:10.1007/BF02102090
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Abstract

We show the existence of the crystal base for the basic representation of\(U_q (\widehat{\mathfrak{s}\mathfrak{l}}(n))\) by giving an explicit description in terms of Young diagrams.

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Kailash C. Misra
    • 1
  • Tetsuji Miwa
    • 2
  1. 1.Department of MathematicsNorth Carolina State UniversityRaleighUSA
  2. 2.Research Institute for Mathematical SciencesKyoto UniversityKyotoJapan