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Generalized twisted quantum doubles of a finite group and rational orbifolds
by Geoffrey Mason   Siu-Hung Ng

Vol. 14 No. 1 (2019) P.1~P.13
 DOI: https://doi.org/10.21915/BIMAS.2019101 10.21915/BIMAS.2019101

ABSTRACT

In previous work the authors introduced a new class of modular quasi-Hopf algebra $D^{\omega}(G, A)$, associated to a finite group $G$, a central subgroup $A$ and a $3$-cocycle $\omega{\in}Z^3(G, \mathcal{C}^{\times})$. In the present paper we propose a description of the class of orbifold models of rational vertex operator algebras whose module category is tensor equivalent to $D^{\omega}(G, A)$-mod. The paper includes background on quasi-Hopf algebras and a discussion of some relevant orbifolds.

KEYWORDS
Finite group, generalized twisted quantum double, modular tensor category.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 16T99, 18D99, 17B69.

MILESTONES