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arxiv: math/0403234 · v1 · submitted 2004-03-15 · 🧮 math.QA · math.RT

Geometric Crystals on Unipotent Groups and Generalized Young Tableaux

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keywords unipotentcrystalsgeometricgroupstableauxyoungalgebraiccase
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We define geometric/unipotent crystal structure on unipotent subgroups of semi-simple algebraic groups. We shall show that in $A_n$-case, their ultra-discretizations coincide with crystals obtained by generalizing Young tableaux.

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