Decorations on Geometric Crystals and Monomial Realizations of Crystal Bases for Classical Groups

2013/01/30 by Toshiki Nakashima, Nakashima, Toshiki
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #math.QA #math.RT #msc:14M15 #msc:17B37 #msc:17B67 #msc:22E46 #msc:81R50

paper · pdf · doi:10.48550/arxiv.1301.7301

53 pages

arxiv created 2013/01/30 · arxiv updated 2013/01/31

Abstract

We shall describe explicitly the decoration functions for certain decorated geometric crystals of classical groups and we shall show that they are represented in terms of monomial realizations of crystal bases.

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