ϕ-coordinated modules for quantum vertex algebras and associative algebras

2016/07/03 by Li, Haisheng · 1 citation
#17B69 #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1607.00608

Abstract

We study \N-graded ϕ-coordinated modules for a general quantum vertex algebra V of a certain type in terms of an associative algebra \widetildeA(V) introduced by Y.-Z. Huang. Among the main results, we establish a bijection between the set of equivalence classes of irreducible \N-graded ϕ-coordinated V-modules and the set of isomorphism classes of irreducible \widetildeA(V)-modules. We also show that for a vertex operator algebra, rationality, regularity, and fusion rules are independent of the choice of the conformal vector.

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