Examples of Nichols algebras associated to upper triangular solutions of the Yang–Baxter equation in rank 3

DOI10.1080/00927872.2020.1867993zbMath1481.16040arXiv2007.04541OpenAlexW3122798266MaRDI QIDQ5858468

Leonardo Duarte Silva, João Matheus Jury Giraldi

Publication date: 13 April 2021

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

Full work available at URL: https://arxiv.org/abs/2007.04541

zbMATH Keywords

Hopf algebrasYang-Baxter equationNichols algebras

Mathematics Subject Classification ID

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

Related Items (1)

Multinomial expansion and Nichols algebras associated to non-degenerate involutive solutions of the Yang-Baxter equation

Cites Work

• Unnamed Item
• A presentation by generators and relations of Nichols algebras of diagonal type and convex orders on root systems.
• Classification of arithmetic root systems
• On the classification of finite-dimensional pointed Hopf algebras.
• Quantization, geometry and noncommutative structures in mathematics and physics. Contributions of the summer school, Villa de Leyva, Columbia
• The Weyl groupoid of a Nichols algebra of diagonal type
• On Nichols algebras of diagonal type
• Bialgebras of type one^*
• Solving the two-dimensional constant quantum Yang–Baxter equation
• Nichols algebras that are quantum planes
• The upper triangular solutions to the three-state constant quantum Yang-Baxter equation

This page was built for publication: Examples of Nichols algebras associated to upper triangular solutions of the Yang–Baxter equation in rank 3