Twisting cocycles in fundamental representation and triangular bi-crossproduct Hopf algebras

DOI10.1063/1.532553zbMath0932.16040arXivmath/9804024OpenAlexW2022508379MaRDI QIDQ4701506

Andrey Mudrov

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9804024

zbMATH Keywords

\(R\)-matricesquantum deformationstwisting cocyclestensor bialgebrasbi-cross productsquantized inhomogeneous Lie algebrastwisting equationsuniversal enveloping Lie algebras

Mathematics Subject Classification ID

Related Items (1)

Quantization of inhomogeneous Lie bialgebras

Cites Work

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• Quantum R-matrices and factorization problems
• Quasitriangular and differential structures on bicrossproduct Hopf algebras
• A new ``null-plane quantum Poincaré algebra
• Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
• Multiparameter quantum groups and twisted quasitriangular Hopf algebras
• Twisting cocycle for null-plane quantized Poincaré algebra
• Sub-Hopf-algebra-induced twists of quantum enveloping algebras
• Twisting 2-cocycles for the construction of new non-standard quantum groups
• Bicrossproduct structure of the null-plane quantum Poincaré algebra

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