Structures of Nichols (braided) Lie algebras of diagonal type

zbMath1391.16038arXiv1704.06810MaRDI QIDQ4642631

Weicai Wu, Jing Wang, Shouchuan Zhang, Yao-Zhong Zhang

Publication date: 23 May 2018

Full work available at URL: https://arxiv.org/abs/1704.06810

zbMATH Keywords

graphNichols algebrabraided vector spaceNichols (braided) Lie algebra

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05) Yang-Baxter equations (16T25)

Cites Work

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• Classification of arithmetic root systems
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• Noncommutative differential geometry related to the Yang-Baxter equation.
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• The Weyl groupoid of a Nichols algebra of diagonal type
• The Nichols algebra of a semisimple Yetter-Drinfeld module
• On Nichols (braided) Lie algebras
• Generalized Lie algebras
• Standard Lyndon Bases of Lie Algebras and Enveloping Algebras
• Relationship between Nichols braided Lie algebras and Nichols algebras
• Lie superalgebras
• Bicharacters, twistings, and Scheunert's theorem for Hopf algebras

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