Pointed Hopf Algebras of Discrete Corepresentation Type

Miodrag Iovanov; Emre Sen; Alexander Sistko; Shijie Zhu

doi:10.48550/arXiv.2211.00507

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Pointed Hopf Algebras of Discrete Corepresentation Type

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Pointed Hopf Algebras of Discrete Corepresentation Type

Miodrag Iovanov, Emre Sen, Alexander Sistko and Shijie Zhu

ArXiv.org

11/01/2022

DOI: 10.48550/arXiv.2211.00507

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https://doi.org/10.48550/arXiv.2211.00507View

Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

We classify pointed Hopf algebras of discrete corepresentation type over an algebraically closed field K with characteristic zero. For such algebras $H$, we explicitly determine the algebra structure up to isomorphism for the link indecomposable component $B$ containing the unit. It turns out that $H$ is a crossed product of $B$ and a certain group algebra.

Details

Title: Subtitle: Pointed Hopf Algebras of Discrete Corepresentation Type
Creators: Miodrag Iovanov
Emre Sen
Alexander Sistko
Shijie Zhu
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arXiv.2211.00507
ISSN: 2331-8422
Language: English
Date posted: 11/01/2022
Academic Unit: Mathematics
Record Identifier: 9984307560202771

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