Mathematics – Representation Theory
Scientific paper
2011-06-03
Mathematics
Representation Theory
42 pages
Scientific paper
In this article we give an algorithm for determining the generators and relations for the rings of semi-invariant functions on irreducible components of representation spaces for gentle string algebras. These rings of semi-invariants turn out to be semigroup rings to which we can associate a so-called matching graph. Under this association, generators for the semigroup can be seen by certain walks on this graph, and relations are given by certain configurations in the graph. This allows us to determine degree bounds for the generators and relations of these rings. We furthermore show that these bounds also hold for acyclic string algebras in general.
Carroll Andrew T.
Weyman Jerzy
No associations
LandOfFree
Semi-Invariants for Gentle String Algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Semi-Invariants for Gentle String Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semi-Invariants for Gentle String Algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-7002