Twisted modules for quantum vertex algebras
Haisheng Li, Shaobin Tan, and Qing Wang
TL;DR
This paper develops a conceptual framework for twisted modules in quantum vertex algebras, providing a method to construct and classify irreducible modules for specific quantum algebra families.
Contribution
It introduces a new conceptual construction for quantum vertex algebras and their twisted modules, advancing the understanding of their structure and classification.
Findings
Constructed and classified irreducible twisted modules for a family of quantum vertex algebras
Provided a new conceptual approach to quantum vertex algebra construction
Enhanced understanding of module structures in quantum algebra context
Abstract
We study twisted modules for (weak) quantum vertex algebras and we give a conceptual construction of (weak) quantum vertex algebras and their twisted modules. As an application we construct and classify irreducible twisted modules for a certain family of quantum vertex algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Commutative Algebra and Its Applications · Advanced Topics in Algebra