This article gives specific information, namely, linear representation theory, about a family of groups, namely: general affine group of degree two.
View linear representation theory of group families  View other specific information about general affine group of degree two
Summary
Irreducible representations
Below are the irreducible representations over the field of complex numbers. These work over any splitting field of characteristic zero or, more generally, of characteristic coprime to the order of the group.
Description of collection of representations 
Parameter for describing each representation 
How the representation is described 
Degree of each representation 
Number of representations 
Sum of squares of degrees

Descends to : Onedimensional, factor through the determinant map 
a homomorphism 

1 


Descends to : Unclear 
a homomorphism , up to the equivalence , excluding the cases where 
unclear 



Descends to : Tensor product of onedimensional representation and the nontrivial component of permutation representation of on the projective line over 
a homomorphism 
where is the nontrivial component of permutation representation of on the projective line over 



Descends to : Induced from onedimensional representation of Borel subgroup 
homomorphisms with , where is treated as unordered. 
Induced from the following representation of the Borel subgroup: 



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1 

Total 
NA 
NA 
NA 

