Presentations of the principal subspaces of the higher-level standard <(sl(3))over cap>-modules

被引：20

作者：

Sadowski, Christopher ^{[1
]}

机构：

[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2015年 / 219卷 / 06期

关键词：

STOYANOVSKYS TYPE SUBSPACES; AFFINE LIE-ALGEBRA; COMBINATORIAL BASES; VERTEX OPERATORS; CHARACTERS; A(1)((1))-MODULES; REPRESENTATIONS; IDENTITIES;

D O I：

10.1016/j.jpaa.2014.09.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the theory of vertex operator algebras and intertwining operators, we obtain presentations for the principal subspaces of all the standard <(sl(3))over cap>-modules. Certain of these presentations had been conjectured and used in work of Calinescu to construct exact sequences leading to the graded dimensions of certain principal subspaces. We prove the conjecture in its full generality for all standard <(sl(3))over cap>-modules. We then provide a conjecture for the case of <(sl(n + 1))over cap>. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：2300 / 2345

页数：46

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