Generalized Yang-Baxter equations, Koszul operators and Poisson Lie groups

DOI10.4310/jdg/1214448081zbMath0785.58042OpenAlexW1589691282WikidataQ115181262 ScholiaQ115181262MaRDI QIDQ1203618

Min Qian, Zhang-Ju Liu

Publication date: 18 February 1993

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214448081

zbMATH Keywords

Yang-Baxter equationsPoisson Lie group

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) General properties and structure of complex Lie groups (22E10) Lie bialgebras; Lie coalgebras (17B62)

Related Items

Exact Lie bialgebroids and Poisson groupoids, Integrable deformation of \(\mathbb{CP}^n\) and generalised Kähler geometry, Lie bialgebras of complex type and associated Poisson Lie groups, Nonabelian generalized Lax pairs, the classical Yang-Baxter equation and PostLie algebras, Poisson-Nijenhuis structures on oriented 3D-manifolds, Poisson structures on double Lie groups