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A fourteen-dimensional biperfect Lie bialgebra

Contributed by Pavel I Etingof

We construct a fourteen-dimensional Lie bialgebra for which both the underlying Lie algebra and its dual are perfect. The construction is defined over $\mathbb{Q}$ and is self-dual over $\mathbb{C}$ . It gives an affirmative answer to Question 4.1(3) of Etingof--Gelaki--Guralnick--Saxl, arXiv:9912068. Its twenty-eight-dimensional Drinfeld double is quasitriangular with injective cobracket, also answering Question 4.1(4).

Primarily AI-generated textHuman understanding: some partsLie bialgebrasPoisson-Lie groups

Oct 16, 2026PDF ↗View work →

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A fourteen-dimensional biperfect Lie bialgebra

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