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单词 Character (Multiplicative)
释义

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.


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