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Jan 9, 2023 at 14:19 comment added Anil Bagchi. @Callum$:$ I think I have found a way to compute it.
Jan 8, 2023 at 16:18 comment added Anil Bagchi. @Callum$:$ What I noticed is that the bivector field given by $x \mapsto (d_e \lambda_x)^{\otimes 2} (r)$ is a left invariant bivector field; hence locally it is the sum of wedge product of two left invariant vector fields. Don't know whether it will be of any importance here.
Jan 8, 2023 at 16:15 comment added Anil Bagchi. @Callum$:$ I don't know how to show the equality. The computation seems complicated to me. That's why I am seeking for help. Don't know how to show the equality in a convenient way.
Jan 8, 2023 at 15:51 comment added Callum If your question was closed on MSE for lack of context, you should really rewrite it to include more context rather than posting it verbatim to MO.
Jan 8, 2023 at 5:07 history asked Anil Bagchi. CC BY-SA 4.0