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Journal of Algebra
Article . 2023 . Peer-reviewed
License: Elsevier TDM
Data sources: Crossref
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zbMATH Open
Article . 2023
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2022
License: arXiv Non-Exclusive Distribution
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Weight-one elements of vertex operator algebras and automorphisms of categories of generalized twisted modules

Authors: Huang, Yi-Zhi; Sadowski, Christopher;

Weight-one elements of vertex operator algebras and automorphisms of categories of generalized twisted modules

Abstract

Given a weight-one element $u$ of a vertex operator algebra $V$, we construct an automorphism of the category of generalized $g$-twisted modules for automorphisms $g$ of $V$ fixing $u$. We apply this construction to the case that $V$ is an affine vertex operator algebra to obtain explicit results on these automorphisms of categories. In particular, we give explicit constructions of certain generalized twisted modules from generalized twisted modules associated to diagram automorphisms of finite-dimensional simple Lie algebras and generalized (untwisted) modules.

32 pages

Related Organizations
Keywords

High Energy Physics - Theory, weight-one elements, FOS: Physical sciences, affine vertex operator algebras, 17B69, 17 B67, 81T40, generalized twisted modules, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), vertex operator algebras, Representation Theory (math.RT), Vertex operators; vertex operator algebras and related structures, Mathematics - Representation Theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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