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LieAlgebras[MatrixCentralizer] - find the matrix centralizer of a list of matrices
Calling Sequences
MatrixCentralizer(M)
Parameters
M - a list of square matrices, each of the same dimension
Description
The centralizer of a set of matrices M is the Lie algebra of matrices which commute with all the matrices in M.
A list of vectors defining a basis for the centralizer of M is returned.
The command MatrixCentralizer is part of the DifferentialGeometry:-LieAlgebras package. It can be used in the form MatrixCentralizer(...) only after executing the commands with(DifferentialGeometry) and with(LieAlgebras), but can always be used by executing DifferentialGeometry:-LieAlgebras:-MatrixCentralizer(...).
Examples
Example 1.
Find the Matrix centralizer of the set of matrices M1.
Example 2.
Find the Matrix centralizer of the set of matrices M2.
See Also
DifferentialGeometry, LieAlgebras, Centralizer
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