adjoint: The adjoint map

adjointR Documentation

The adjoint map

Description

\loadmathjax

The adjoint \mjeqn\mathrmad_Xad_X of \mjseqnX is a map from a Lie group \mjseqnG to the endomorphism group of \mjseqnG defined by

\mjdeqn\mathrm

ad_X(Y)=\left[X,Y\right]ad_X(Y)=[X,Y]

Usage

ad(x)

Arguments

x

Object nominally of class freealg but other classes accepted where they make sense

Details

details here

Note

Vignette adjoint gives more description

Author(s)

Robin K. S. Hankin

Examples


x <- rfalg()
y <- rfalg()

f <- ad(x)
f(y)


f(f(y)) # [x,[x,y]]


freealg documentation built on March 31, 2023, 7:13 p.m.