Representation ↩

aliases: []
shorthands: {}
created: 2021-10-18 17:31:29
modified: 2022-01-10 04:13:04

Definition

group, linear space over , then the homomorphism is a representation. (GL = General linear group)

Properties

• or is the image space of the representation
• or is the dimension of the representation ^{^68083d}
  ## Notes
• in a finite Group, the determinant of a represented group element must be a complex root of unity
• in a finite group, the eigenvalues of any represented group element must be a complex root of unity
•