Tropical Plucker functions and Kashiwara crystals

被引：1

作者：

Danilov, V. I. ^{[1
]}

Karzanov, A. V. ^{[2
]}

Koshevoy, G. A. ^{[3
,4
]}

机构：

[1] RAS, Cent Inst Econ & Math, Moscow 117418, Russia

[2] RAS, Inst Syst Anal, Moscow 117312, Russia

[3] RAS, Cent Inst Econ & Math, Moscow 119002, Russia

[4] Lab JV Poncelet, Moscow 119002, Russia

来源：

TROPICAL AND IDEMPOTENT MATHEMATICS AND APPLICATIONS | 2014年 / 616卷

关键词：

Crystals; Plucker relations; tiling diagrams; MIRKOVIC-VILONEN POLYTOPES; PATHS; SET;

D O I：

10.1090/conm/616/12309

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that Kashiwara crystals of type A can be described by use of tropical Plucker functions (TP-functions) on a hyper-cube and related rhombus tilings. We also illustrate the formation of crystals of types B and C via symmetric TP-functions and tilings.

引用

页码：77 / 99

页数：23

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