Principal subspaces for quantum affine algebra Uq(An(1))

被引：15
|
作者：
Kozic, Slaven [1 ]
机构：
[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2014年 / 218卷 / 11期
关键词：
CURRENT OPERATORS; VERTEX OPERATORS; REPRESENTATIONS; MODULES;
D O I：
10.1016/j.jpaa.2014.03.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider principal subspace W (A) of integrable highest weight module L(A) for quantum affine algebra U-q((s) over capl(n+1)). We introduce quantum analogues of the quasi-particles associated with the principal subspaces for (s) over capl(n+1) and discover certain relations among them. By using these relations we find, for certain highest weight A, combinatorial bases of principal subspace W(A) in terms of monomials of quantum quasi-particles. (C) 2014 Elsevier B.V. All rights reserved.
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页码：2119 / 2148
页数：30
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