Graded Poisson-Lie structures on general linear groups

DOI10.1007/BF02070518zbMath0941.17011WikidataQ115392838 ScholiaQ115392838MaRDI QIDQ1817630

P. B. Medvedev, Gleb E. Arutyunov

Publication date: 2 May 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

quantum group\(r\)-matrixgraded algebraPoisson-Lie groupPoisson-Hopf algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Graded Lie (super)algebras (17B70) Geometry of quantum groups (58B32) Poisson algebras (17B63)

Related Items (1)

On extended graded Poisson algebras

Cites Work

• Quantum R-matrices and factorization problems
• Compact matrix pseudogroups
• Bicovariant differential calculus on quantum groups \(SU_ q(N)\) and \(SO_ q(N)\)
• Differential calculus on quantized simple Lie groups
• Differential geometry on linear quantum groups
• Matrix-element bialgebras determined by quadratic coordinate algebras
• Bicovariant quantum algebras and quantum Lie algebras
• Notes on quantum groups and quantum de Rham complexes
• Remarks on bicovariant differential calculi and exterior Hopf algebras
• The algebra of differential forms on a full matric bialgebra
• Covariant differential complexes on quantum linear groups
• Dressing transformations and Poisson group actions

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