Skip to main content
MathOverflow

Return to Question

Added \operatorname to GL and added missing \mathbb to one Z.
Source Link
edit approved Jul 14, 2022 at 18:21
Samuel Adrian Antz
edit approved Jul 14, 2022 at 18:21
Samuel Adrian Antz
  • 345
  • 1
  • 3
  • 12

Representation theory of $GL_2$\operatorname{GL}_2(\mathbb Z/n\mathbb Z)$

Is there a nice reference for the finite dimensional (characteristic 0) representation theory of $GL_2(\mathbb Z/n\mathbb Z)$$\operatorname{GL}_2(\mathbb Z/n\mathbb Z)$ and $PGL_2(\mathbb Z/nZ)$$\operatorname{PGL}_2(\mathbb Z/n\mathbb Z)$ for varying $n$ and in the limit, for $PGL_2(\mathbb Z_\ell)$$\operatorname{PGL}_2(\mathbb Z_\ell)$?

I would like to know things like the number of irreducible representations, their dimensions, the minimal fields they are defined over and stuff like that.

Representation theory of $GL_2(\mathbb Z/n\mathbb Z)$

Is there a nice reference for the finite dimensional (characteristic 0) representation theory of $GL_2(\mathbb Z/n\mathbb Z)$ and $PGL_2(\mathbb Z/nZ)$ for varying $n$ and in the limit, for $PGL_2(\mathbb Z_\ell)$?

I would like to know things like the number of irreducible representations, their dimensions, the minimal fields they are defined over and stuff like that.

Representation theory of $\operatorname{GL}_2(\mathbb Z/n\mathbb Z)$

Is there a nice reference for the finite dimensional (characteristic 0) representation theory of $\operatorname{GL}_2(\mathbb Z/n\mathbb Z)$ and $\operatorname{PGL}_2(\mathbb Z/n\mathbb Z)$ for varying $n$ and in the limit, for $\operatorname{PGL}_2(\mathbb Z_\ell)$?

I would like to know things like the number of irreducible representations, their dimensions, the minimal fields they are defined over and stuff like that.

Source Link
Asvin
Asvin
  • 7.7k
  • 2
  • 21
  • 52

Representation theory of $GL_2(\mathbb Z/n\mathbb Z)$

Is there a nice reference for the finite dimensional (characteristic 0) representation theory of $GL_2(\mathbb Z/n\mathbb Z)$ and $PGL_2(\mathbb Z/nZ)$ for varying $n$ and in the limit, for $PGL_2(\mathbb Z_\ell)$?

I would like to know things like the number of irreducible representations, their dimensions, the minimal fields they are defined over and stuff like that.