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.

引用

页码：1609 / 1635

页数：27

共 93 条

[51]

Kashiwara M., 1995, CMS C P, P155

[52]

Kashiwara M., 2010, REPRESENT THEOR, V14, P446, DOI DOI 10.1090/S1088-4165-2010-00379-9

[53] Affine geometric crystals and limit of perfect crystals [J].