Package jsci.maths.groups

This package contains the interfaces for semigroups, monoids, and groups.

See: Description

Interface Summary

Interface	Description
AbelianGroup	This interface defines an abelian group.
AbelianGroup.Member	This interface defines a member of an abelian group.
Group	This interface defines a group.
Group.Member	This interface defines a member of a group.
Monoid	This interface defines a monoid.
Monoid.Member	This interface defines a member of a monoid.
Semigroup	This interface defines a semigroup.
Semigroup.Member	This interface defines a member of a semigroup.

Class Summary

Class	Description
CyclicGroup	The CyclicGroup class represents the nth cyclic group.
DihedralGroup	The DihedralGroup class represents the nth dihedral group.
FiniteGroup	Superclass for finite groups.
LieGroup	The LieGroup class provides an encapsulation for Lie groups.
QuaternionGroup	The QuaternionGroup class represents the quaternion group.
U1	The U1 class provides an encapsulation for U(1) groups.

Package jsci.maths.groups Description

This package contains the interfaces for semigroups, monoids, and groups. The discrete group classes represent elements using a, b, c, e notation (e = identity). The Lie group parent class uses complex square matrices to represent its elements. All Lie group sub-classes override the LieGroup class methods in such a way as to maintain the matrix representation, even though they themselves may use a different representation.