Actions of quantum linear spaces on quantum algebras

We study actions of bosonizations of quantum linear spaces on quantum algebras. Under mild conditions, we classify actions on quantum affine spaces and quantum matrix algebras. In the former case, it is shown that all actions of generalized Taft algebras are trivial extensions of actions on quantum...

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Published inarXiv.org
Main Authors Cline, Zachary, Gaddis, Jason
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 14.08.2019
Subjects
Algebra
Mathematics - Quantum Algebra
Mathematics - Rings and Algebras
Vector spaces
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ISSN2331-8422
DOI10.48550/arxiv.1908.05248

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Abstract We study actions of bosonizations of quantum linear spaces on quantum algebras. Under mild conditions, we classify actions on quantum affine spaces and quantum matrix algebras. In the former case, it is shown that all actions of generalized Taft algebras are trivial extensions of actions on quantum planes. In both cases we achieve bounds on the rank of the bosonization acting on the algebra.
AbstractList Journal of Algebra, 556, 2020, 246-286 We study actions of bosonizations of quantum linear spaces on quantum algebras. Under mild conditions, we classify actions on quantum affine spaces and quantum matrix algebras. In the former case, it is shown that all actions of generalized Taft algebras are trivial extensions of actions on quantum planes. In both cases we achieve bounds on the rank of the bosonization acting on the algebra.
We study actions of bosonizations of quantum linear spaces on quantum algebras. Under mild conditions, we classify actions on quantum affine spaces and quantum matrix algebras. In the former case, it is shown that all actions of generalized Taft algebras are trivial extensions of actions on quantum planes. In both cases we achieve bounds on the rank of the bosonization acting on the algebra.
Author Cline, Zachary
Gaddis, Jason
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BackLink https://doi.org/10.48550/arXiv.1908.05248$$DView paper in arXiv
https://doi.org/10.1016/j.jalgebra.2020.03.011$$DView published paper (Access to full text may be restricted)
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Snippet We study actions of bosonizations of quantum linear spaces on quantum algebras. Under mild conditions, we classify actions on quantum affine spaces and quantum...
Journal of Algebra, 556, 2020, 246-286 We study actions of bosonizations of quantum linear spaces on quantum algebras. Under mild conditions, we classify...
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Mathematics - Quantum Algebra
Mathematics - Rings and Algebras
Vector spaces
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