# is this paper wrong? — “irreducible characters of finite algebra groups” by andre

Hoping someone familiar with the subject will find this.

In Thm 4.1 of this paper (p. 14), it says that the irreducible characters of a finite algebra group (like the unipotent uppertriangular matrix group) are exactly the characters $\phi_{\mathcal{O}}$, of which you can find the definition on p. 3. They are just the Kirillov functions, right (?), and I thought a big point (proven by Isaacs and Karagueuzian) was that the irreducible characters of the unipotent uppertriangular groups are not always Kirillov functions?

I was very confused by this, but can't find anything anywhere redacting this paper, so I must be misunderstanding things.