Lie-Poisson groups: Remarks and examples

DOI10.1007/BF00429954zbMath0704.22011WikidataQ115394999 ScholiaQ115394999MaRDI QIDQ916801

M. Parker, Michel Cahen, Simone Gutt, Christian Ohn

Publication date: 1990

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

zbMATH Keywords

Yang-Baxter equationscomplex structures on Lie-Poisson groupsDrinfeld solutionssimply connected real semisimple Lie group

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) PDEs in connection with quantum mechanics (35Q40) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Other complex differential geometry (53C56)

Related Items

Poisson structures on the Lorentz group, The Schouten-Nijenhuis bracket and interior products, A family of Poisson structures on Hermitian symmetric spaces, Characterization and existence of multiplicative Dirac structures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item