Character (Multiplicative)

A continuous Homeomorphism of a Group into the Nonzero Complex Numbers. Amultiplicative character gives a Representation on the 1-D Space of ComplexNumbers, where the Representation action by is multiplication by . Amultiplicative character is Unitary if it has Absolute Value 1everywhere.

References

Knapp, A. W. ``Group Representations and Harmonic Analysis, Part II.'' Not. Amer. Math. Soc. 43, 537-549, 1996.

• Ribet's Theorem
• Riccati-Bessel Functions
• Riccati Differential Equation
• Ricci Curvature
• Ricci Tensor
• Rice Distribution
• Richardson Extrapolation
• Richardson's Theorem
• Richard's Paradox
• Ridders' Method
• Ridge
• Riemann-Christoffel Tensor
• Riemann Curve Theorem
• Riemann Differential Equation
• Riemann Function
• Riemann Hypothesis
• Riemannian Geometry
• Riemannian Geometry (Non-Euclidean)
• Riemannian Manifold
• Riemannian Metric
• Riemann Integral
• Riemann-Lebesgue Lemma
• Riemann-Mangoldt Function
• Riemann Mapping Theorem
• Riemann P-Differential Equation