Finite-dimensional pointed Hopf algebras with alternating groups are trivial.

DOI10.1007/s10231-010-0147-0zbMath1234.16019arXiv0812.4628OpenAlexW2005388980MaRDI QIDQ540723

Nicolás Andruskiewitsch, Leandro Vendramin, Fernando Fantino, Matías Graña

Publication date: 3 June 2011

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.4628

zbMATH Keywords

symmetric groupsgroup-like elementsalternating groupsYetter-Drinfeld modulesracksbraided Hopf algebraspointed Hopf algebrasNichols algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Group rings (16S34) Hopf algebras and their applications (16T05)

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Uses Software

• GAP
• RiG

Cites Work

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• ON NICHOLS ALGEBRAS OVER PGL(2, q) AND PSL(2, q)
• Finite quantum groups over abelian groups of prime exponent
• On pointed Hopf algebras associated to some conjugacy classes in 𝕊_{𝕟}

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