PERFECT CRYSTALS FOR THE QUANTUM AFFINE ALGEBRA Uq(Cn(1))

被引：0

作者：

Kang, Seok-Jin ^{[1
,2
]}

Kim, Myungho ^{[1
]}

Lee, Inha ^{[1
]}

Misra, Kailash C. ^{[3
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, 599 Gwanak Ro, Seoul 151747, South Korea

[2] Seoul Natl Univ, Res Inst Math, Seoul 151747, South Korea

[3] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

来源：

NEW TRENDS IN QUANTUM INTEGRABLE SYSTEMS | 2011年

关键词：

Q-ANALOG; REPRESENTATIONS; BASES;

D O I：

10.1142/9789814324373_0008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we give an explicit isomorphism between the adjoint crystal Beta(e) given in Ref. 13 and the Kirillov-Reshetikhin crystals B-1,B-2e presented in Ref. 2 for C-n((1)) . Consequently we have a complete proof of perfectness of the crystals Beta(e). In the sequel we also present an explicit description of the involution sigma given in Ref. 2 for this special case.

引用

页码：139 / 156

页数：18

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