Induced modules for orbifold vertex operator algebras
Hung LAM, Ching
J. Math. Soc. Japan, Tome 53 (2001) no. 3, p. 541-557 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Let $V$ be a simple vertex operator algebra and $G<$ Aut $V$ a finite abelian subgroup such that $V^{G}$ is rational. We study the representations of $V$ based on certain assumptions on $V^{G}$ -modules. We prove a decomposition theorem for irreducible $V$ -modules. We also define an induced module from $V^{G}$ to $V$ and show that every irreducible $V$ -module is a quotient module of some induced module. In addition, we prove that $V$ is rational in this case.
Publié le : 2001-07-15
Classification:  induced module,  orbifold theory,  rational vertex operator algebra,  17B69 
@article{1213023722,
     author = {Hung LAM, Ching},
     title = {Induced modules for orbifold vertex operator algebras},
     journal = {J. Math. Soc. Japan},
     volume = {53},
     number = {3},
     year = {2001},
     pages = { 541-557},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1213023722}
}

Hung LAM, Ching. Induced modules for orbifold vertex operator algebras. J. Math. Soc. Japan, Tome 53 (2001) no. 3, pp.  541-557. http://gdmltest.u-ga.fr/item/1213023722/