Representations and Fusion Rules for the Orbifold Vertex Operator Algebras Lsl2^(k,0)ℤ3

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2022-04-30 DOI:10.1142/s1005386722000207

Bing Wang

引用次数: 2

Abstract

For the cyclic group [Formula: see text] and a positive integer [Formula: see text], we study the representations of the orbifold vertex operator algebra [Formula: see text]. All the irreducible modules for [Formula: see text] are classified and constructed explicitly. Quantum dimensions and fusion rules for [Formula: see text] are completely determined.

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轨道顶点算子代数Lsl2^(k,0)的表示和融合规则

对于循环群[公式:见文]和正整数[公式:见文]，我们研究了轨道顶点算子代数[公式:见文]的表示。[公式:见文本]的所有不可约模块都被明确地分类和构造。[公式:见原文]的量子维度和融合规则是完全确定的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.