A generalization of intertwining operators for vertex operator algebras

作者：Tanabe Kenichiro^*

来源：Journal of Algebra, 2017, 491: 372-401.

DOI：10.1016/j.jalgebra.2017.08.011

• Vertex operator algebras
• Intertwining operators
• N-graded weak modules
• Zhu algebras

For a vertex operator algebra V, we generalize the notion of an intertwining operator among an arbitrary triple of V-modules to an arbitrary triple of N-graded weak V-modules and study their properties. We show a formula for the dimensions of the spaces of these intertwining operators in terms of modules over the Zhu algebras under some conditions on N-graded weak modules.

• 出版日期2017-12-1