Partial ⁎-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups

Kenny De Commer; Johan Konings

doi:10.1016/j.jalgebra.2023.07.003

Partial ⁎-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups

Kenny De Commer, Johan Konings

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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Abstract

We introduce a notion of partial algebraic quantum group. This is an important special case of a weak multiplier Hopf algebra with integrals, as introduced in the work of Van Daele and Wang. At the same time, it generalizes the notion of partial compact quantum group as introduced by De Commer and Timmermann. As an application, we show that the Drinfeld double of a partial compact quantum group can be defined as a partial ⁎-algebraic quantum group.

Original language	English
Pages (from-to)	345-403
Number of pages	59
Journal	Journal of Algebra
Volume	634
DOIs	https://doi.org/10.1016/j.jalgebra.2023.07.003
Publication status	Published - Nov 2023

Bibliographical note

Funding Information:
Acknowledgments: The work of K. De Commer was supported by the FWO grant G032919N . We thank the referee for their valuable comments.

Publisher Copyright:
© 2023 Elsevier Inc.

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10.1016/j.jalgebra.2023.07.003

Partial_Algebraic_Quantum_groups_AAMAccepted author manuscript, 598 KBLicence: CC BY-NC-ND

https://doi.org/10.48550/arXiv.2204.02900Licence: CC BY-NC-ND

Cite this

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title = "Partial ⁎-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups",

abstract = "We introduce a notion of partial algebraic quantum group. This is an important special case of a weak multiplier Hopf algebra with integrals, as introduced in the work of Van Daele and Wang. At the same time, it generalizes the notion of partial compact quantum group as introduced by De Commer and Timmermann. As an application, we show that the Drinfeld double of a partial compact quantum group can be defined as a partial ⁎-algebraic quantum group.",

author = "{De Commer}, Kenny and Johan Konings",

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N2 - We introduce a notion of partial algebraic quantum group. This is an important special case of a weak multiplier Hopf algebra with integrals, as introduced in the work of Van Daele and Wang. At the same time, it generalizes the notion of partial compact quantum group as introduced by De Commer and Timmermann. As an application, we show that the Drinfeld double of a partial compact quantum group can be defined as a partial ⁎-algebraic quantum group.

AB - We introduce a notion of partial algebraic quantum group. This is an important special case of a weak multiplier Hopf algebra with integrals, as introduced in the work of Van Daele and Wang. At the same time, it generalizes the notion of partial compact quantum group as introduced by De Commer and Timmermann. As an application, we show that the Drinfeld double of a partial compact quantum group can be defined as a partial ⁎-algebraic quantum group.

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Partial ⁎-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups

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FWOAL900: Quantum symmetric spaces, operator algebras and quantum cluster algebras

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Partial ⁎-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups

Abstract

Bibliographical note

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Fingerprint

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FWOAL900: Quantum symmetric spaces, operator algebras and quantum cluster algebras

Cite this