R. Preusser

activity

20152019

collaborators

5 papers

math.RA2019

Weighted Leavitt path algebras that are isomorphic to unweighted Leavitt path algebras

Raimund Preusser

Let $K$ be a field. We characterise the row-finite weighted graphs $(E, w)$ such that the weighted Leavitt path algebra $L_{K} (E, w)$ is isomorphic to an unweighted Leavitt path algebr…

math.KT2018

Bases for Kumjian-Pask algebras over standard $k$ -graphs

Raimund Preusser

For any Kumjian-Pask algebra $K P_{R} (Λ)$ defined over a $k$ -graph $Λ$ of a special kind (a "standard $k$ -graph"), we obtain an $R$ -basis.

math.KT2018

Sandwich classification for $O_{2 n + 1} (R)$ and $U_{2 n + 1} (R, Δ)$ revisited

Raimund Preusser

In a recent paper, the author proved that if $n \geq 3$ is a natural number, $R$ a commutative ring and $σ \in G L_{n} (R)$ , then $t_{k l} (σ_{ij})$ where $i \neq = j$ and $k \neq = l$ can be ex…

math.KT2017

Sandwich classification for $G L_{n} (R)$ , $O_{2 n} (R)$ and $U_{2 n} (R, Λ)$ revisited

Raimund Preusser

Let $n$ be a natural number greater or equal to $3$ , $R$ a commutative ring and $σ \in G L_{n} (R)$ . We show that $t_{k l} (σ_{ij})$ (resp. $t_{k l} (σ_{ii} - σ_{j j}))$ where $i \neq = j$ and $k…

math.KT2015

Global Actions

Raimund Preusser

A global action is an algebraic analogue of a topological space. It consists of group actions $G_{α} ↷ X_{α}$ , $(α \in Φ)$ , which fulfill a certain compatibility condition.…

Weighted Leavitt path algebras that are isomorphic to unweighted Leavitt path algebras

Bases for Kumjian-Pask algebras over standard k-graphs

Sandwich classification for O2n+1​(R) and U2n+1​(R,Δ) revisited

Sandwich classification for GLn​(R), O2n​(R) and U2n​(R,Λ) revisited

Global Actions

Bases for Kumjian-Pask algebras over standard $k$ -graphs

Sandwich classification for $O_{2 n + 1} (R)$ and $U_{2 n + 1} (R, Δ)$ revisited

Sandwich classification for $G L_{n} (R)$ , $O_{2 n} (R)$ and $U_{2 n} (R, Λ)$ revisited