The $\vee$ (vee) operator is defined in Chirikjian's Stochastic Models, Information Theory, and Lie Groups, Volume 2, page 20. It maps elements of a Lie algebra to a vector:

$$ \left(\sum_{i=1}^n x_i E_i\right)^\vee = \begin{pmatrix} x_1 \\ x_2 \\ \vdots{} \\ x_n \end{pmatrix} $$

where $\{E_i\}$ is a basis for the Lie algebra. However, Chirikjian never gives the result a name, always using notation specific to the example at hand (for example, "the column vector $[x_1 , x_2 , x_3 ]^T$").

Is there a name for the vector on the right hand side? I am thinking of something like "component vector."


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