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# Class JSci.maths.algebras.su2Dim2

    java.lang.Object
       |
       +----JSci.maths.algebras.LieAlgebra
               |
               +----JSci.maths.algebras.su2Dim2

public final class su2Dim2
extends LieAlgebra

The su2Dim2 class encapsulates su(2) algebras using the 2 dimensional (fundamental) representation. Elements are represented by 3-vectors with a matrix basis.

##

su2Dim2()
  Constructs an su(2) algebra.

##

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

##

su2Dim2

     public su2Dim2()

  Constructs an su(2) algebra.

##

getElement

     public ComplexSquareMatrix getElement(DoubleVector v)

  Returns an element as a matrix (vector*basis).

  Overrides:
    getElement in class LieAlgebra

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

basis

     public ComplexSquareMatrix[] basis()

  Returns the basis used to represent the Lie algebra.

  Overrides:
    basis in class LieAlgebra

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