On intertwining operators and finite automorphism groups of vertex operator algebras
Let V be a simple vertex operator algebra and G a finite automorphism group. We give a construction of intertwining operators for irreducible VG-modules which occur as submodules of irreducible V-modules by using intertwining operators for V. ::: ::: We also determine some fusion rules for a vertex operator algebra as an application.
R.Devi et al. [4] introduced the concept of $g\~$$\alpha$-open sets. In this paper, we introduce and study some properties of functions with ultra $g\~$$\alpha$-closed graphs and strongly $g\~$$\alpha$-closed graphs by utilizing $g\~$$\alpha$-open sets and the eg-closure operator.