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Geometric Crystals on Unipotent Groups and Generalized Young Tableaux

Toshiki Nakashima

math.QAarXiv:math/0403234

Abstract

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

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