Existence of a Lie bialgebra structure on every Lie algebra

DOI10.1007/BF00761714zbMath0797.16045WikidataQ115394894 ScholiaQ115394894MaRDI QIDQ1330307

Vivian De Smedt

Publication date: 18 July 1994

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

zbMATH Keywords

existencefinite-dimensional Lie algebra\(r\) matrixexact Lie bialgebra structure

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Applications of Lie (super)algebras to physics, etc. (17B81)

Related Items (11)

The \(2\)-plectic structures induced by the Lie bialgebras ⋮ Hopf \(*\)-deformation of any Lie group ⋮ Yau-type ternary Hom-Lie bialgebras ⋮ The deformed twisted Heisenberg–Virasoro type Lie bialgebra ⋮ A construction of Lie bialgebras from Lie coalgebras via antisymmetric bilinear forms ⋮ Existence of triangular Lie bialgebra structures. II ⋮ Existence of solutions of the classical Yang-Baxter equation for a real Lie algebra ⋮ A Classification of Low Dimensional Lie Bialgebras ⋮ Jordan bialgebras of symmetric elements and Lie bialgebras ⋮ Existence of triangular Lie bialgebra structures ⋮ Manin triples and non-degenerate anti-symmetric bilinear forms on Lie superalgebras in characteristic 2

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