Linear representation theory of general linear group over a finite field
This article gives specific information, namely, linear representation theory, about a family of groups, namely: general linear group.
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This article describes the linear representation theory of the general linear group of finite degree over a finite field, i.e., a group of the form , also denoted , defined as the general linear group of degree over the (unique up to isomorphism) field of size .
Particular cases by degree
|Value of degree||Linear representation theory of special linear group|
|1||the general linear group is a cyclic group of size , given by the multiplicative group of -- see multiplicative group of a finite field is cyclic and linear representation theory of finite cyclic groups|
|2||linear representation theory of general linear group of degree two over a finite field|
|3||linear representation theory of general linear group of degree three over a finite field|