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arxiv: math/0507448 · v1 · pith:NXNMDLO5new · submitted 2005-07-21 · 🧮 math.QA

Young tableaux and crystal B(infty) for finite simple Lie algebras

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keywords crystalrealizationgiventableauxyoungalgebrasbasecliff
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We study the crystal base of the negative part of a quantum group. An explicit realization of the crystal is given in terms of Young tableaux for types $A_n$, $B_n$, $C_n$, $D_n$, and $G_2$. Connection between our realization and a previous realization of Cliff is also given.

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