226 citations
- Centre National de la Recherche ScientifiqueFR4 papers
- University of ViennaAT4 papers
- Imperial College LondonGB3 papers
- Arcetri Astrophysical ObservatoryIT2 papers
- Austrian Academy of SciencesAT2 papers
- Institute for Quantum Optics and Quantum Information InnsbruckAT2 papers
- Ollscoil na Gaillimhe – University of GalwayIE2 papers
- Otto-von-Guericke-Universität MagdeburgDE2 papers
- University of CambridgeGB2 papers
- University of EdinburghGB2 papers
- University of ParmaIT2 papers
- Aarhus UniversityDK1 paper
4 papers · 1 filter
On the representation dimension of rank 2 group algebras and related algebras
Thorsten Holm, Wei Hu
The representation dimension was defined by M. Auslander in 1970 and is, due to spectacular recent progress, one of the most interesting homological invariants in representation th…
Varieties of pairs of nilpotent matrices annihilating each other
Jan Schröer
We classify the irreducible components of the varieties V(n,a,b) of pairs (A,B) of matrices of size n such that AB = BA = 0 and A^a = B^b = 0.
Radical embeddings and representation dimension
Karin Erdmann, Thorsten Holm, Osamu Iyama +1
Given a representation-finite algebra B and a subalgebra A of B such that the Jacobson radicals of A and B coincide, we prove that the representation dimension of A is at most thre…
Stable endomorphism algebras of modules over special biserial algebras
Jan Schröer, Alexander Zimmermann
We prove that the stable endomorphism algebra of a module without self-extensions over a special biserial algebra is a gentle algebra. In particular, it is again special biserial.…