, Volume 134, Issue 1, pp 79-88

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

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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.

Communicated by H. Araki