JSci.maths.algebras
Class 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.

Method Summary

AbstractComplexSquareMatrix[]	basis() Returns the basis used to represent the Lie algebra.
AbstractComplexSquareMatrix	getElement(AbstractDoubleVector v) Returns an element as a matrix (vector*basis).
static so3_1Dim4	getInstance() Singleton.
AbstractDoubleVector	multiply(AbstractDoubleVector a, AbstractDoubleVector b) Returns the Lie bracket (commutator) of two elements.

Methods inherited from class JSci.maths.algebras.LieAlgebra

toString

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Method Detail

getInstance

public static final so3_1Dim4 getInstance()

Singleton.

getElement

public AbstractComplexSquareMatrix getElement(AbstractDoubleVector v)

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

Specified by:

getElement in class LieAlgebra

multiply

public AbstractDoubleVector multiply(AbstractDoubleVector a,
                                     AbstractDoubleVector b)

Returns the Lie bracket (commutator) of two elements. Same as the vector cross product.

Specified by:

multiply in class LieAlgebra

basis

public AbstractComplexSquareMatrix[] basis()

Returns the basis used to represent the Lie algebra.

Specified by:

basis in class LieAlgebra