Florida Atlantic University

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19932026

most citedAccurate Evolutions of Orbiting Black-Hole Binaries Without Excision

1.4k citations

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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 $T (n)$

Claus Michael Ringel, Markus Schmidmeier

We consider the category $S (n)$ of all pairs $X = (U, V)$ , where $V$ is a finite-dimensional vector space with a nilpotent operator $T$ with $T^{n} = 0$ , and $U$ is a subspac…

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,…

math.RT2016★ 5 cited

Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators. Part II

Mariusz Kaniecki, Justyna Kosakowska, Markus Schmidmeier

For a partition $β$ , denote by $N_{β}$ the nilpotent linear operator of Jordan type $β$ . Given partitions $β$ , $γ$ , we investigate the representation space $_{2} V_{γ}^{β}$ of a…

math.RT2016★ 6 cited

Box moves on Littlewood-Richardson tableaux and an application to invariant subspace varieties