Yetter-Drinfeld modules over Nichols systems: reflections, induced objects and maximal subobject

DOI10.1080/00927872.2023.2248518OpenAlexW4386211629MaRDI QIDQ6198591

Kevin Wolf

Publication date: 23 February 2024

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2023.2248518

zbMATH Keywords

Hopf algebraNichols algebrabraided monoidal categoryYetter-Drinfeld moduleShapovalov determinant

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05) Braided monoidal categories and ribbon categories (18M15)

Cites Work

• Shapovalov determinant for loop superalgebras
• On the determinant of Shapovalov form for generalized Verma modules
• Crossed modules and quantum groups in braided categories
• Cartan determinants and Shapovalov forms
• PBW deformations of a Fomin-Kirillov algebra and other examples
• Partially dualized Hopf algebras have equivalent Yetter-Drinfel'd modules.
• On the Brauer-Picard group of a finite symmetric tensor category
• Hopf Algebras and Root Systems
• Drinfel'd doubles and Shapovalov determinants
• Nichols systems and their reflections

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