Racks, Leibniz algebras and Yetter–Drinfel'd modules
Abstract: A Hopf algebra object in Loday and Pirashvili's category of linear maps entails an ordinary Hopf algebra and a Yetter–Drinfel'd module. We equip the latter with a structure of a braided Leibniz algebra. This provides a unified framework for examples of racks in the category of coalgebras discussed recently by Carter, Crans, Elhamdadi and Saito.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Racks, Leibniz algebras and Yetter–Drinfel'd modules ; volume:22 ; number:4 ; year:2015 ; pages:529-542 ; extent:14
Georgian mathematical journal ; 22, Heft 4 (2015), 529-542 (gesamt 14)
- Creator
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Krähmer, Ulrich
Wagemann, Friedrich
- DOI
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10.1515/gmj-2015-0049
- URN
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urn:nbn:de:101:1-2501110528305.433686958977
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:35 AM CEST
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Associated
- Krähmer, Ulrich
- Wagemann, Friedrich
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Modules and group algebras
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Hom-Leibniz bialgebras and BiHom-Leibniz dendriform algebras
Tilting modules of tilted algebras and related topics
Smooth and rough modules over self-induced algebras
3-pre-Leibniz Algebras, Deformations and Cohomologies of Relative Rota-Baxter Operators on 3-Leibniz Algebras
Operads, algebras and modules in model categories and motives
Operads, algebras and modules in model categories and motives
Distributions of modules over finite Zp-algebras
Minimal sincere modules of representation-directed algebras
Verma modules for Iwasawa algebras are faithful
Lie theory for symmetric Leibniz algebras
Modules and group algebras
Constructions of Lie algebras and their modules
Hom-Leibniz bialgebras and BiHom-Leibniz dendriform algebras
Tilting modules of tilted algebras and related topics
Smooth and rough modules over self-induced algebras
3-pre-Leibniz Algebras, Deformations and Cohomologies of Relative Rota-Baxter Operators on 3-Leibniz Algebras
Operads, algebras and modules in model categories and motives
Operads, algebras and modules in model categories and motives
Distributions of modules over finite Zp-algebras
Minimal sincere modules of representation-directed algebras
Verma modules for Iwasawa algebras are faithful