adjoint: The adjoint map
In RobinHankin/onion: Octonions and Quaternions
adjoint R 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\mathrmad_X(Y)=\left[X,Y\right]ad_X(Y)=[X,Y]
Usage
ad(x)
Arguments
x
Object nominally of class onion but other classes
accepted where they make sense
Details
Here for completeness really.
Author(s)
Robin K. S. Hankin
Examples
x <- rquat()
y <- rquat()
f <- ad(x)
f(y)
f(f(y)) # [x,[x,y]]
RobinHankin/onion documentation built on April 20, 2024, 2:05 p.m.
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| adjoint | R Documentation |
The adjoint map
Description
\loadmathjaxThe adjoint \mjeqn\mathrmad_Xad_X of \mjseqnX is a map from a Lie group \mjseqnG to the endomorphism group of \mjseqnG defined by
\mjdeqn\mathrmad_X(Y)=\left[X,Y\right]ad_X(Y)=[X,Y]
Usage
ad(x)
Arguments
x |
Object nominally of class |
Details
Here for completeness really.
Author(s)
Robin K. S. Hankin
Examples
x <- rquat()
y <- rquat()
f <- ad(x)
f(y)
f(f(y)) # [x,[x,y]]
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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