On finite quantum groups at \(-1\).

DOI10.1007/s10468-004-6008-zzbMath1136.16032OpenAlexW1997018813MaRDI QIDQ1780986

Sorin Dascalescu, Nicolás Andruskiewitsch

Publication date: 15 June 2005

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-004-6008-z

zbMATH Keywords

group-like elementsfinite quantum groupsYetter-Drinfeld modulesbraided categoriescoradical filtrationspointed Hopf algebrasgeneralised simply-laced Cartan matrices

Mathematics Subject Classification ID

Related Items (6)

Finite dimensional Hopf algebras over Kac-Paljutkin algebra $H_8$ ⋮ Finite quantum groups over abelian groups of prime exponent ⋮ On finite dimensional Nichols algebras of diagonal type ⋮ Liftings of Nichols algebras of diagonal type III. Cartan type \(G_{2}\) ⋮ EXT ALGEBRA OF NICHOLS ALGEBRAS OF CARTAN TYPE A₂ ⋮ Duals of pointed Hopf algebras

Cites Work

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• Quantum groups at roots of 1
• The structure of Hopf algebras with a projection
• Quantum groups and quantum shuffles
• Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\)
• Cross products by braided groups and bosonization
• Finite quantum groups and Cartan matrices
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• Bialgebras of type one^*
• On Pointed Hopf Algebras of Dimension 2 ⁿ
• Finite quantum groups over abelian groups of prime exponent

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