Package org.episteme.core.mathematics.algebra.groups

package org.episteme.core.mathematics.algebra.groups
  • Class
    Description
    CyclicGroup
    Represents a Cyclic Group of order n (Z_n).
    DihedralGroup
    Represents a Dihedral Group D_n of order 2n.
    FiniteGroup<E>
    Represents a Finite Group.
    FreeGroup
    Represents a Free Group over a set of generators.
    FreeGroup.Word
    A word in the free group.
    LieGroup
    A Lie group is a group that is also a differentiable manifold.
    OrderedGroup<E>
    Represents an Ordered Group.
    QuaternionGroup
    Represents the Quaternion Group Q8.
    SO3_1Group
    The group of all linear transformations of Minkowski space that preserve the spacetime interval ds²=-c²dt²+dx²+dy²+dz².
    SU2Group
    The group of 2x2 unitary matrices with determinant 1.
    SU3Group
    The group of 3x3 unitary matrices with determinant 1.
    SymmetricGroup
    Represents the Symmetric Group S_n (group of all permutations of n elements).
    SymmetricGroup.Permutation
    Represents a permutation of {0, 1, ..., n-1}.
    U1Group
    Represents the Unitary Group U(1).