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Class JSci.maths.algebras.LieAlgebra 

java.lang.Object
   |
   +----JSci.maths.algebras.LieAlgebra
public abstract class LieAlgebra
extends Object
The LieAlgebra class provides an abstract encapsulation for Lie algebras. Elements are represented by vectors with a matrix basis.

Constructor Index

o LieAlgebra(String)
Constructs a Lie algebra.

Method Index

o basis()
Returns the basis used to represent the Lie algebra.
o getElement(DoubleVector)
Returns an element as a matrix (vector*basis).
o multiply(DoubleVector, DoubleVector)
Returns the Lie bracket (commutator) of two elements.
o toString()
Returns a string representing this algebra.

Constructors

o LieAlgebra 
 public LieAlgebra(String aLabel)
Constructs a Lie algebra.

Parameters:
aLabel - a label that identifies this algebra

Methods

o toString 
 public final String toString()
Returns a string representing this algebra.

Overrides:
toString in class Object
o getElement 
 public abstract ComplexSquareMatrix getElement(DoubleVector v)
Returns an element as a matrix (vector*basis).

o multiply 
 public abstract DoubleVector multiply(DoubleVector a,
                                       DoubleVector b)
Returns the Lie bracket (commutator) of two elements.

o basis 
 public abstract ComplexSquareMatrix[] basis()
Returns the basis used to represent the Lie algebra. 

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