The structure of parafermion vertex operator algebras: general case
Chongying Dong, Qing Wang
TL;DR
This paper investigates the structure of parafermion vertex operator algebras linked to affine Kac-Moody algebras, identifying generators for these complex algebraic objects.
Contribution
It determines a set of generators for parafermion vertex operator algebras associated with any affine Kac-Moody algebra, advancing understanding of their structure.
Findings
Identified generators for parafermion vertex operator algebras
Extended structural understanding to all affine Kac-Moody algebras
Provided foundational results for future algebraic research
Abstract
The structure of the parafermion vertex operator algebra associated to an integrable highest weight module for any affine Kac-Moody algebra is studied. In particular, a set of generators for this algebra has been determined.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Topics in Algebra