Poisson-Lie group

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This article or section of article is sourced from:Wikipedia

Definition

A Poisson-Lie group G is a differential manifold G equipped with the following two additional structures:

satisfying the following compatibility conditions: the group multiplication G \times G \to G is a Poisson map from G \times G with the Poisson product structure, to G.

Relation with other structures

Stronger structures

Weaker structures