Kirillov-Reshetikhin Crystals B1,s for (sl)over-capn Using Nakajima Monomials

被引：0
作者：
Gunawan, Emily [1 ]
Scrimshaw, Travis [2 ]
机构：
[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA
[2] Univ Queensland, Sch Math & Phys, St Lucia, Qld 4072, Australia
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2020年 / 23卷 / 04期
基金：
美国国家科学基金会;
关键词：
Crystal; Nakajima monomial; Quantum group; Kirillov-Reshetikhin crystal; FINITE-DIMENSIONAL REPRESENTATIONS; AFFINE GEOMETRIC CRYSTALS; PERFECT CRYSTALS; Q-CHARACTERS; Q-ANALOG; QUIVER VARIETIES; TENSOR PRODUCT; T-ANALOGS; REALIZATION; ALGEBRAS;
D O I：
10.1007/s10468-019-09904-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a realization of the Kirillov-Reshetikhin crystal B-1,B-s using the crystal structure given by Kashiwara. We describe the tensor product circle times(N)(i=1) B-1,B-si in terms of a shift of indices, allowing us to recover the Kyoto path model. Additionally, we give a model for the KR crystals B-r,B-1 using Nakajima monomials.
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收藏
页码：1609 / 1635
页数：27
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