freealg (version 1.1-1)

adjoint: The adjoint map

Description

The adjoint ad_Xad_X of X is a map from a Lie group G to the endomorphism group of G defined by

ad_X(Y)=[X,Y]ad_X(Y)=[X,Y]

Usage

ad(x)

Arguments

x

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

Author

Robin K. S. Hankin

Details

details here

Examples

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

f <- ad(x)
f(y)


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