R. Preusser

activity

20152026

most citedApplications of normal forms for weighted Leavitt path algebras: simple rings and domains

17 citations · 23 across the 21 of their papers we have counts for

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Showing 2018Show all

6 papers · 1 filter

math.KT2018

The E-normal structure of Petrov's odd unitary groups over commutative rings

Raimund Preusser

For an odd quadratic space $V$ of Witt index $\geq 3$ over a commutative ring with pseudoinvolution, we classify the subgroups of the odd unitary group $U (V)$ that are normalized b…

math.RA2018

The V-monoid of a weighted Leavitt path algebra

Raimund Preusser

We compute the $V$ -monoid of a weighted Leavitt path algebra of a row-finite weighted graph, correcting a wrong computation of the $V$ -monoid that exists in the literature. Further…

math.RA2018★ 2 cited

Locally finite weighted Leavitt path algebras

Raimund Preusser

A group graded $K$ -algebra $A = g \in G ⨁ A_{g}$ is called "locally finite" if $dim_{K} A_{g} < \infty$ for every $g \in G$ . We characterise the weighted graphs $(E, w)$ for…

math.RA2018★ 2 cited

Weighted Leavitt path algebras of finite Gelfand-Kirillov dimension

Raimund Preusser

We determine the Gelfand-Kirillov dimension of a weighted Leavitt path algebra $L_{K} (E, w)$ where $K$ is a field and $(E, w)$ a finite weighted graph. Further we show that a finite-di…

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…

The E-normal structure of Petrov's odd unitary groups over commutative rings

The V-monoid of a weighted Leavitt path algebra

Locally finite weighted Leavitt path algebras

Weighted Leavitt path algebras of finite Gelfand-Kirillov dimension

Bases for Kumjian-Pask algebras over standard k-graphs

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

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