LieAlgebras[MinimalIdeal] - find the smallest ideal containing a given set of vectors
Calling Sequences
MinimalIdeal(S)
Parameters
S - a list of vectors in a Lie algebra
Description
Examples
MinimalIdeal(S) calculates the smallest ideal containing the list of vectors S in an Lie algebra .
A list of vectors giving a basis for is returned.
The command MinimalIdeal is part of the DifferentialGeometry:-LieAlgebras package. It can be used in the form MinimalIdeal(...) only after executing the commands with(DifferentialGeometry) and with(LieAlgebras), but can always be used by executing DifferentialGeometry:-LieAlgebras:-MinimalIdeal(...).
Example 1.
First initialize a Lie algebra and display the multiplication table.
Find the minimal ideal containing the vectors
See Also
DifferentialGeometry
LieAlgebras
MinimalSubalgebra
MultiplicationTable
Query[Ideal]
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