onion (version 1.5-3)

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 onion but other classes accepted where they make sense

Author

Robin K. S. Hankin

Details

Here for completeness really.

Examples

x <- rquat()
y <- rquat()

f <- ad(x)
f(y)

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