adjoint

The adjoint $\mathrm{ad}_X$ of $X$ is a map from a
 Lie group $G$ to the endomorphism group of $G$ defined
 by
$$\mathrm{ad}_X(Y)=\left[X,Y\right]$$

The free algebra in R with non-commuting indeterminates.
Uses 'disordR' discipline
(Hankin, 2022, <doi:10.48550/ARXIV.2210.03856>). To cite the
package in publications please use Hankin (2022)
<doi:10.48550/ARXIV.2211.04002>.

Robin K S Hankin

freealg

The Free Algebra

adjoint function

<dl> <dt>x</dt>
<dd>Object nominally of class <code>freealg</code> but other classes
 accepted where they make sense</dd></dl>

Arguments

Author

The adjoint $\mathrm{ad}_X$ of $X$ is a map from a
 Lie group $G$ to the endomorphism group of $G$ defined
 by
$$\mathrm{ad}_X(Y)=\left[X,Y\right]$$

The adjoint map — adjoint

<dl>

 <dt>x</dt>
<dd>Object nominally of class <code>freealg</code> but other classes
 accepted where they make sense</dd>

</dl>

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adjoint: The adjoint map

Description

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