adjoint: The adjoint map

adjointR Documentation

The adjoint map

Description

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]

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]]


RobinHankin/freealg documentation built on Feb. 3, 2025, 12:11 a.m.