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java.lang.ObjectJSci.maths.algebras.LieAlgebra
JSci.maths.algebras.sp2_RDim3
public final class sp2_RDim3
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.
Method Summary | |
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ComplexSquareMatrix[] |
basis()
Returns the basis used to represent the Lie algebra. |
ComplexSquareMatrix |
getElement(DoubleVector v)
Returns an element as a matrix (vector*basis). |
static sp2_RDim3 |
getInstance()
Singleton. |
DoubleVector |
multiply(DoubleVector a,
DoubleVector b)
Returns the Lie bracket (commutator) of two elements. |
Methods inherited from class JSci.maths.algebras.LieAlgebra |
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toString |
Methods inherited from class java.lang.Object |
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clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait |
Method Detail |
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public static final sp2_RDim3 getInstance()
public ComplexSquareMatrix getElement(DoubleVector v)
getElement
in class LieAlgebra
public DoubleVector multiply(DoubleVector a, DoubleVector b)
multiply
in class LieAlgebra
public ComplexSquareMatrix[] basis()
basis
in class LieAlgebra
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