Wei Jiang, Wei Zhang
Abstract
Let V be a vertex operator algebra, M be an admissible V-module. An An(V)-Am(V)-bimodule An,m(M) for any nonnegative integers m and n is constructed and studied. The fusion rules for admissible V-modules are determined in terms of bimodule An,m(M). An,m(M) for irreducible V-module M is given explicitly if V is rational.
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Let V be a vertex operator algebra, M be an admissible V-module. An An(V)-Am(V)-bimodule An,m(M) for any nonnegative integers m and n is constructed and studied. The fusion rules for admissible V-modules are determined in terms of bimodule An,m(M). An,m(M) for irreducible V-module M is given explicitly if V is rational.
Key concepts: Bimodule, Mathematics, Vertex (graph theory), Vertex operator algebra, Operator algebra, Operator (biology), Pure mathematics, Combinatorics