MinimalIdeal - Maple Help
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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

Description

• 

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(...).

Examples

 

Example 1.

First initialize a Lie algebra and display the multiplication table.

Alg1   > 

(2.1)

 

Find the minimal ideal containing the vectors

Alg1 > 

Alg1 > 

(2.2)

 

Find the minimal ideal containing the vectors

Alg1   > 

Alg1 > 

(2.3)
Alg1 > 

(2.4)
Alg1 > 

(2.5)

See Also

DifferentialGeometry

LieAlgebras

MinimalSubalgebra

MultiplicationTable

Query[Ideal]

 


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