On quantum Galois theory

Details On quantum Galois theory On quantum Galois theory

1994-12-05

arxiv.org/abs/hep-th/9412037v1

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, latex, no figures

Scientific paper

For a simple vertex operator algebra $V$ and a finite automorphism group $G$ of $V$ then $V$ is a direct sum of $V^{\chi}$ where $\chi$ are irreducible character of $G$ and $V^{\chi}$ is the subspace of $V$ which $G$ acts according to the character $\chi.$ We prove the following: 1. Each $V^{\chi}$ is nonzero. 2. $V^{\chi}$ is a tensor product $M_{\chi}\otimes V_{\chi}$ where $M_{\chi}$ is an irreducible $G$-module affording $\chi$ and $V_{\chi}$ is a $V^G$-module. If $G$ is solvable, $V_{\chi}$ is a simple $V^G$-module and $M_{\chi}\mapsto $V_{\chi}$ is a bijection from the set of irreducible $G$-modules to the set of (inequivalent) simple $V^G$-modules which are contained in $V.$

Affiliated with

Also associated with

No associations

Rating

On quantum Galois theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On quantum Galois theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On quantum Galois theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-676441