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# Class JSci.maths.algebras.so3_1Dim4

    java.lang.Object
       |
       +----JSci.maths.algebras.LieAlgebra
               |
               +----JSci.maths.algebras.so3_1Dim4

public final class so3_1Dim4
extends LieAlgebra

The so3_1Dim4 class encapsulates so(3,1) algebras using the 4 dimensional (fundamental) representation. Elements are represented by vectors with a matrix basis.

##

so3_1Dim4()
  Constructs an so(3,1) 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.

##

so3_1Dim4

     public so3_1Dim4()

  Constructs an so(3,1) 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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