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20042025
most citedInvariant Subspaces of Nilpotent Linear Operators. I

91 citations · 338 across the 27 of their papers we have counts for

collaborators

28 papers

math.RT2025

Gorenstein-Projective Modules over the Ring of Dual Integers

Xiu-Hua Luo, Markus Schmidmeier

The ring of dual integers is the bounded polynomial ring $\mathbb Z[\eps]=\mathbb Z[T]/(T^2)$ with integer coefficients. We describe the (finitely generated) Gorenstein-projective…

math.RT2024

Invariant Subspaces of Nilpotent Operators. Level, Mean, and Colevel: The Triangle

Claus Michael Ringel, Markus Schmidmeier

We consider the category of all pairs , where is a finite-dimensional vector space with a nilpotent operator with , and is a subspac…

math.GR2023

Abelian p-groups with a fixed elementary subgroup or with a fixed elementary quotient

Justyna Kosakowska, Markus Schmidmeier, Martin Schreiner

In his 1934 paper, G.\ Birkhoff poses the problem of classifying pairs where is an abelian group and a subgroup, up to automorphisms of . In general, Bi…

math.RT2022

A reflection equivalence for Gorenstein-projective quiver representations

Xiu-Hua Luo, Markus Schmidmeier

For a selfinjective algebra, and a finite quiver without oriented cycles, the algebra is a Gorenstein algebra and the category of Gorenstein-projective…

math.RT2021

Hammocks to visualize the support of finitely presented functors

Markus Schmidmeier

Many properties of a module can be expressed in terms of the dimension of the vector space obtained by applying a finitely presented functor to that module. For example, the dimens…

math.RT2020★ 1 cited

The socle tableau as a dual version of the Littlewood-Richardson tableau

Justyna Kosakowska, Markus Schmidmeier

Like the LR-tableau, a socle tableau is given as a skew diagram with certain entries. Unlike in the LR-tableau, the entries in the socle tableau are weakly increasing in each row,…