General Presentations of Algebras
By Harm Derksen, J. Fei. 2009
88 citations recorded by the source corpus.
For any finite dimensional basic associative algebra, we study the presentation spaces and their relation with the representation spaces. We prove two propositions about a general presentation, one on its subrepresentations and the other on its canonical decomposition. As a special case, we consider rigid presentations. We show how to complete a rigid presentation and study the number of nonisomorphic direct summands and different complements. Based on that, we construct a simplicial complex governing the canonical decompositions of rigid presentations and provide some examples.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/bc890027fc3cc916770ff564694fa05404e4cdca
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Peter Jørgensen
- Dong Ping Yang
- Osamu Iyama
- B. Keller
- Gustavo Jasso
- J. Št’ovíček
- I. Reiten
- Steffen Oppermann
In Geometry and Topology
- Peter Jørgensen
- Dong Ping Yang
- Osamu Iyama
- B. Keller
- Gustavo Jasso
- J. Št’ovíček
- I. Reiten
- Lidia Angeleri Hugel
In Statistical and Nonlinear Physics
- Peter Jørgensen
- Dong Ping Yang
- Osamu Iyama
- B. Keller
- I. Reiten
- Steffen Oppermann
- Gustavo Jasso
- Bernard Leclerc
Citations in the corpus
- Intermediate co-t-structures, two-term silting objects, tau-tilting modules, and torsion classes (2013, methodology): “Secondly, by applying F to the triangle (9), we see that F (ts) and F (u 1 s) are isomorphic in modS.”