Alexander Sistko

activity

20162025

F_{1}

-Representations, and Euler Characteristics of Quiver Grassmannians

4 citations · 6 across the 9 of their papers we have counts for

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5 papers · 1 filter

math.RA2020

Ore Extensions and Infinite Triangularization

Miodrag Iovanov, Jeremy Edison, Alexander Sistko

We give infinite triangularization and strict triangularization results for algebras of operators on infinite dimensional vector spaces. We introduce a class of algebras we call Or…

math.RA2018

On Isoclasses of Maximal Subalgebras Determined by Automorphisms

Alexander H. Sistko

Let $k$ be an algebraically-closed field, and let $B = k Q / I$ be a basic, finite-dimensional associative $k$ -algebra with $n := dim_{k} B < \infty$ . Previous work shows that the colle…

math.RA2018★ 1 cited

Automorphism Groups of Finite-Dimensional Algebras Acting on Subalgebra Varieties

Alexander H. Sistko

Let $k$ be an algebraically-closed field, and $B$ a unital, associative $k$ -algebra with $n := dim_{k} B < \infty$ . For each $1 \leq m \leq n$ , the collection of all $m$ -dimensional su…

math.RA2017

Maximal Subalgebras of Finite-Dimensional Algebras

Miodrag Iovanov, Alexander Sistko

We study maximal subalgebras of an arbitrary finite dimensional algebra over a field, and obtain full classification/description results of such algebras. This is done by first obt…

math.RA2016

On the Toeplitz-Jacobson algebra and direct finiteness

Miodrag C Iovanov, Alexander Sistko

We study the representation theory of the algebraic Toeplitz algebra $R = K ⟨ x, y ⟩ / ⟨ x y - 1 ⟩$ , give a few new structure and homological theorems, compl…