The commuting-variety tag has no wiki summary.

**12**

votes

**1**answer

543 views

### Counting representations of $k[x,y]$ when $k$ is finite

$\newcommand{\GFq}{\mathbf F_q}$
Let $r_n(q)$ denote the number of isomorphism classes of $n$-dimensional modules of the $\GFq$-algebra $\GFq[x,y]$. Is it known whether there exists a polynomial ...

**0**

votes

**2**answers

138 views

### commuting family [closed]

I have tow matrix A & B, that B is a parametric matrix. what i can find B so that it is commuting with A?

**1**

vote

**1**answer

235 views

### Request for info on the space of commuting matrices preserving a flag.

Fix a flag of subspaces V1 in V2 in V3, etc. all in Cn.
Consider the space of pairs of commuting linear transformations A and B such that:
A preserves the flag (i.e. A(Vi) is in Vi), and
B strictly ...