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Class JSci.maths.algebras.sp2_RDim3 

java.lang.Object
   |
   +----JSci.maths.algebras.LieAlgebra
           |
           +----JSci.maths.algebras.sp2_RDim3
public final class sp2_RDim3
extends LieAlgebra
The sp2_RDim3 class encapsulates sp(2,R) algebras using the 3 dimensional (adjoint) representation. Elements are represented by 3-vectors with a matrix basis.

Constructor Index

o sp2_RDim3()
Constructs an sp(2,R) 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.

Constructors

o sp2_RDim3 
 public sp2_RDim3()
Constructs an sp(2,R) 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 basis 
 public ComplexSquareMatrix[] basis()
Returns the basis used to represent the Lie algebra.

Overrides:
basis in class LieAlgebra 
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