Math Problem Statement

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May you cite some interesting articles related to the article attached above, with their exact references

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Math Problem Analysis

Mathematical Concepts

Lie bialgebras
Poisson-Lie groups
Flat Lie algebras
Yang-Baxter equation
Big Bracket formalism

Formulas

Cocycle decomposition formula
Yang-Baxter equation: [r, r] = 0
Infinitesimal Levi-Civita connection formula

Theorems

Decomposition theorem for cocycles
Classification of Lie bialgebra structures
Milnor's characterization of flat Lie algebras

Suitable Grade Level

Graduate level (Advanced Mathematics)