TY - JOUR AU1 - Dong, Chongying AU2 - Han, Jianzhi AB - In this paper, we prove that g-rationality of a vertex operator superalgebra for all gG implies the rationality of V G, and also implies that each irreducible V G-module is a submodule of an irreducible g-twisted V -module for some gG, where G is any finite abelian subgroup of Aut(V). We also prove that, for any finite solvable G, rationality of V G implies the g-rationality of V for any gG. TI - On Rationality of Vertex Operator Superalgebras JF - International Mathematics Research Notices DO - 10.1093/imrn/rnt077 DA - 2014-04-30 UR - https://www.deepdyve.com/lp/oxford-university-press/on-rationality-of-vertex-operator-superalgebras-oP0zdsOT4F SP - 4379 EP - 4399 VL - 2014 IS - 16 DP - DeepDyve ER -