Uses of Class
repthy.Complex

Uses of Complex in repthy

Fields in repthy declared as Complex

static Complex	Complex.ZERO The constant 0.
static Complex	Complex.ONE The constant 1.
static Complex	Complex.I The constant i.
static Complex	Complex.NEG_ONE The constant -1.
static Complex	Complex.NEG_I The constant -i.

Methods in repthy that return Complex

Complex	ClassFunction.apply(GroupElt g) Returns the value of the function at g.
Complex	ClassFunction.getValue(int i) Returns the value for the i-th conjugacy class.
Complex	ClassFunction.innerProduct(ClassFunction chi) Returns the Hermitian inner product (1 / order(G)) * Sum_(g in G) [this(g) * chi(g)^conjugate] on the space of class functions.
Complex	ClassFunction.normSq() Returns the ClassFunction.innerProduct(repthy.ClassFunction) of this with itself.
Complex	Complex.add(Complex w)
Complex	Complex.add(double real)
Complex	Complex.add(int real)
Complex	Complex.subtract(Complex w)
Complex	Complex.subtract(double real)
Complex	Complex.subtract(int real)
Complex	Complex.mult(Complex w)
Complex	Complex.mult(double real)
Complex	Complex.mult(int real)
Complex	Complex.multByConj(Complex w) Returns this times the conjugate of w.
Complex	Complex.conjugate()
static Complex	Complex.getRootOf1(int j, int n) Returns the jth power of the primitive nth root of unity e^(2 pi i / n).

Methods in repthy with parameters of type Complex

Complex	Complex.add(Complex w)
Complex	Complex.subtract(Complex w)
Complex	Complex.mult(Complex w)
Complex	Complex.multByConj(Complex w) Returns this times the conjugate of w.

Constructors in repthy with parameters of type Complex

ClassFunction(Group G, Complex[] val)
Constructs the class function on G whose value on the i-th conjugacy class (as returned by Group.getConjClass(int)) is val[i].

GpCharacter(Group G, Complex[] val, int cycloField)
Constructs the character on G whose value on the i-th conjugacy class (as returned by Group.getConjClass(int)) is val[i].

GpCharacter(Group G, Complex[] val, int cycloField, String name)
Same as the three-argument constructor, but allows the user to specify the name.