Geometric Crystals on Unipotent Groups and Generalized Young Tableaux

2004/03/15 by Toshiki Nakashima, Nakashima, Toshiki
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.math/0403234

LaTeX 17 pages

arxiv created 2004/03/15 · arxiv updated 2009/12/01

Abstract

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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