The relationship between skew group algebras and orbifold theory

Details The relationship between skew group algebras and orbifold theory The relationship between skew group algebras and orbifold theory

2001-07-24

arxiv.org/abs/math/0107180v2

Mathematics

Quantum Algebra

15 pages. To appear in Journal of Algebra

Scientific paper

Let V be a simple vertex operator algebra and let G be a finite automorphism group of V. In [DY], it was shown that any irreducible V-module is a completely reducible V^G-module where V^G is the G-invariant sub-vertex operator algebra of V. In this paper, we give an alternative proof of this fact using the theory of skew group algebras. We also extend this result to any irreducible g-twisted V-module when g is in the center of G and V is a g-rational vertex operator algebra.

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