Henrik Ruping

activity

20212025

collaborators

4 papers

math.AT2025

Steenrod closed $C_{3}$ -invariant parameter ideals in the mod 2 cohomology of $Z /2 \times Z /2$

Henrik Rüping, Marc Stephan

For the nontrivial action by the cyclic group $C_{3}$ of order $3$ on the graded polynomial ring $F_{2} [a, b]$ , we classify the $C_{3}$ -invariant parameter ideals that are closed…

math.AC2024

An equivariant BGG correspondence and perfect complexes for extensions by $Z /2 \times Z /2$

Henrik Rüping, Marc Stephan

We provide an equivariant extension of Carlsson's BGG correspondence in characteristic two. As an application we classify perfect cochain complexes of $(\mathbb{Z}/2\times \mathbb{…

math.AT2022

Steenrod closed parameter ideals in the mod- $2$ cohomology of $A_{4}$ and $S O (3)$

Henrik Rüping, Marc Stephan, Ergun Yalcin

In this paper, we classify the parameter ideals in $H^{*} (B A_{4}; F_{2})$ and in the Dickson algebra $H^{*} (B S O (3); F_{2})$ that are closed under Steenrod operations. Consequ…

math.AC2021

Automorphisms of the Koszul homology of a local ring

Srikanth B. Iyengar, Henrik Rüping, Marc Stephan

This work concerns the Koszul complex $K$ of a commutative noetherian local ring $R$ , with its natural structure as differential graded $R$ -algebra. It is proved that under diverse…

Steenrod closed C3​-invariant parameter ideals in the mod 2 cohomology of Z/2×Z/2

An equivariant BGG correspondence and perfect complexes for extensions by Z/2×Z/2

Steenrod closed parameter ideals in the mod-2 cohomology of A4​ and SO(3)

Automorphisms of the Koszul homology of a local ring

Steenrod closed $C_{3}$ -invariant parameter ideals in the mod 2 cohomology of $Z /2 \times Z /2$

An equivariant BGG correspondence and perfect complexes for extensions by $Z /2 \times Z /2$

Steenrod closed parameter ideals in the mod- $2$ cohomology of $A_{4}$ and $S O (3)$