Character (group theory): Difference between revisions
Jump to navigation
Jump to search
imported>Richard Pinch (new entry, just a start, more later) |
(No difference)
|
Revision as of 14:54, 2 January 2009
In group theory, a character may refer one of two related concepts: a group homomorphism from a group to the unit circle, or the trace of a group representation.
Group homomorphism
A character of a group G is a group homomorphism from G to the unit circle, the multiplicative group of complex numbers of modulus one.
Group representation
A character of a group representation of G, which may be regarded as a homomorphism from the group G to a matrix group, is the trace of the corresponding matrix.