Bernhard Bohmler

collaborators

3 papers

math.RT2025

Trivial source characters in blocks of domestic representation type

Bernhard Böhmler

Let $G$ be a finite group of even order, let $k$ be an algebraically closed field of characteristic $2$ , and let $B$ be a block of the group algebra $k G$ which is of domestic repre…

math.RT2021

On the extension-closed property for the subcategory $Tr (Ω^{2} (mod - A))$

Bernhard Böhmler, René Marczinzik

We present a monomial quiver algebra $A$ having the property that the subcategory $Tr (Ω^{2} (mod - A))$ is not extension-closed. This answers a question raised by Idun Reit…

math.RT2021

A Cluster tilting module for a representation-infinite block of a group algebra

Bernhard Böhmler, Rene Marczinzik

Let $G = S L (2, 5)$ be the special linear group of $2 \times 2$ -matrices with coefficients in the field with $5$ elements. We show that the principal block over a splitting field $K$ o…

Trivial source characters in blocks of domestic representation type

On the extension-closed property for the subcategory Tr(Ω2(mod−A))

A Cluster tilting module for a representation-infinite block of a group algebra

On the extension-closed property for the subcategory $Tr (Ω^{2} (mod - A))$