Crystal base for the basic representation of \(U_ q({\mathfrak sl}^\wedge (n))\) (Q2644744)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Crystal base for the basic representation of \(U_ q({\mathfrak sl}^\wedge (n))\) |
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Crystal base for the basic representation of \(U_ q({\mathfrak sl}^\wedge (n))\) (English)
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1990
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It is proved that the basic representation of \(U_ q({\mathfrak sl}^{\wedge}(n))\) has a crystal base (cf. the preceding review). An explicit description in terms of Young diagrams is given. In a recent preprint [Res. Inst. Math. Sci., Kyoto. Univ., 767 (1991)], \textit{M. Kashiwara} and \textit{T. Nakashima} have given further explicit descriptions of crystal bases.
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highest weight module
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basic representation
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Young diagrams
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crystal bases
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