Classification of irreducible admissible modules for S-local vertex operator algebra V#H

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Algebra and Its Applications Pub Date : 2023-11-03 DOI:10.1142/s0219498825501038

Fang Du, Hao Wang

引用次数: 0

Abstract

For an [Formula: see text]-local vertex operator algebra [Formula: see text], where [Formula: see text] is a simple vertex operator algebra, and [Formula: see text] is the group algebra of a finite subgroup of [Formula: see text], Frobenius reciprocity is investigated. We give an explicit construction and classification of admissible [Formula: see text]-modules in terms of admissible [Formula: see text]-modules. We also give a complete set of irreducible inequivalent admissible [Formula: see text]-modules.

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s -局部顶点算子代数V#H不可约容许模的分类

对于一个[公式:见文]-局部顶点算子代数[公式:见文]，其中[公式:见文]是一个简单顶点算子代数，[公式:见文]是[公式:见文]的一个有限子群的群代数，研究了Frobenius互易性。我们根据可容许的[公式:见文]-模块给出了可容许的[公式:见文]-模块的显式构造和分类。我们也给出了不可约的不等价可容许模的完备集合[公式:见正文]。

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

Journal of Algebra and Its Applications 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

226

审稿时长

4-8 weeks

期刊介绍： The Journal of Algebra and Its Applications will publish papers both on theoretical and on applied aspects of Algebra. There is special interest in papers that point out innovative links between areas of Algebra and fields of application. As the field of Algebra continues to experience tremendous growth and diversification, we intend to provide the mathematical community with a central source for information on both the theoretical and the applied aspects of the discipline. While the journal will be primarily devoted to the publication of original research, extraordinary expository articles that encourage communication between algebraists and experts on areas of application as well as those presenting the state of the art on a given algebraic sub-discipline will be considered.