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math.QA2009
On triviality of the Kashiwara-Vergne problem for quadratic Lie algebras
Anton Alekseev, Charles Torossian
We show that the Kashiwara-Vergne (KV) problem for quadratic Lie algebras (that is, Lie algebras admitting an invariant scalar product) reduces to the problem of representing the C…
math.QA2009★ 20 cited
Kontsevich deformation quantization and flat connections
A. Alekseev, C. Torossian
In arXiv:math/0105152, the second author used the Kontsevich deformation quantization technique to define a natural connection ω_n on the compactified configuration spaces of n poi…