Geometric Crystals on Flag Varieties and Unipotent Subgroups of Classical Groups

Mathematics – Quantum Algebra

Scientific paper

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Latex, 21pages

Scientific paper

For a classical simple algebraic group $G$ we obtain the affirmative answer
for the conjecture in [8] that there exists an isomorphism between the
geometric crystal on the flag variety and the one on the unipotent subgroup
$U^-$.

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