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Class JSci.maths.algebras.su2Dim3 

java.lang.Object
   |
   +----JSci.maths.algebras.LieAlgebra
           |
           +----JSci.maths.algebras.su2Dim3
public final class su2Dim3
extends LieAlgebra
The su2Dim3 class encapsulates su(2) algebras using the 3 dimensional (adjoint) representation. Elements are represented by 3-vectors with a matrix basis.

Constructor Index

o su2Dim3()
Constructs an su(2) algebra.

Method Index

o basis()
Returns the basis used to represent the Lie algebra.
o cartanMetric()
Returns the Cartan metric.
o getElement(DoubleVector)
Returns an element as a matrix (vector*basis).
o killingForm(DoubleVector, DoubleVector)
Returns the Killing Form of two elements (scalar product).
o multiply(DoubleVector, DoubleVector)
Returns the Lie bracket (commutator) of two elements.

Constructors

o su2Dim3 
 public su2Dim3()
Constructs an su(2) algebra.

Methods

o getElement 
 public ComplexSquareMatrix getElement(DoubleVector v)
Returns an element as a matrix (vector*basis).

Overrides:
getElement in class LieAlgebra
o multiply 
 public DoubleVector multiply(DoubleVector a,
                              DoubleVector b)
Returns the Lie bracket (commutator) of two elements. Same as the vector cross product.

Overrides:
multiply in class LieAlgebra
o killingForm 
 public double killingForm(DoubleVector a,
                           DoubleVector b)
Returns the Killing Form of two elements (scalar product).

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

Overrides:
basis in class LieAlgebra
o cartanMetric 
 public DoubleSquareMatrix cartanMetric()
Returns the Cartan metric. 

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