The extension of a quantized Borcherds superalgebra by a Hopf algebra

DOI10.1007/s10114-016-4771-5zbMath1358.17022OpenAlexW2273410790MaRDI QIDQ270134

Lixia Ye, Zhi Xiang Wu

Publication date: 7 April 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-4771-5

zbMATH Keywords

quantized enveloping algebraHopf algebraBorcherds superalgebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Ring-theoretic aspects of quantum groups (16T20)

Cites Work

• Extensions of quantum enveloping algebras
• Construct weak Hopf algebras by using Borcherds matrix.
• Two-parameter quantum affine algebra \(U_{r,s}(\widehat{\mathfrak {sl}_n})\), Drinfel'd realization and quantum affine Lyndon basis
• Notes on 2-parameter quantum groups. I.
• Weak Hopf algebras and some new solutions of the quantum Yang-Baxter equation
• Weak Hopf algebras corresponding to Borcherds-Cartan matrices.
• Multi-parameter Quantum Groups and Quantum Shuffles, (I)
• Notes on Two-Parameter Quantum Groups, (II)
• EXTENDED QUANTUM ENVELOPING ALGEBRAS OF (2)
• A class of weak Hopf algebras related to a Borcherds–Cartan matrix
• Weak Hopf algebras corresponding to Cartan matrices
• Weak quantum Borcherds superalgebras and their representations
• Quantized enveloping algebras for Borcherds superalgebras
• Center and universal R-matrix for quantized Borcherds superalgebras
• Weak Hopf algebras corresponding to Uq[sln]
• Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation