Nichols algebras over weak Hopf algebras

DOI10.1007/s11766-018-3327-0zbMath1399.17020OpenAlexW2790663142MaRDI QIDQ1747381

Zhi Xiang Wu

Publication date: 8 May 2018

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-018-3327-0

zbMATH Keywords

Nichols algebraweak Hopf algebraquantum enveloping algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Construct weak Hopf algebras by using Borcherds matrix.
• Lusztig isomorphisms for Drinfel'd doubles of bosonizations of Nichols algebras of diagonal type
• Weak quantum enveloping algebras of Borcherds superalgebras
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Universal \(R\)-matrix for quantized (super)algebras
• Finite quantum groups and Cartan matrices
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Two-parameter quantum groups and Drinfel'd doubles.
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• Drinfel'd doubles and Lusztig's symmetries of two-parameter quantum groups
• A class of weak Hopf algebras related to a Borcherds–Cartan matrix
• Weak Hopf algebras corresponding to Cartan matrices
• Bialgebras of type one^*
• Quantized enveloping algebras for Borcherds superalgebras
• Weak Hopf algebras corresponding to Uq[sln]
• Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation