Algebras from surfaces without punctures

Details Algebras from surfaces without punctures Algebras from surfaces without punctures

2011-03-22

arxiv.org/abs/1103.4357v2

Mathematics

Representation Theory

34 pages, 16 figures, 1 table, v2 reference added

Scientific paper

We introduce a new class of finite dimensional gentle algebras, the surface algebras, which are constructed from an unpunctured Riemann surface with boundary and marked points by introducing cuts in internal triangles of an arbitrary triangulation of the surface. We show that surface algebras are endomorphism algebras of partial cluster-tilting objects in generalized cluster categories, we compute the invariant of Avella-Alaminos and Geiss for surface algebras and we provide a geometric model for the module category of surface algebras.

Affiliated with

Also associated with

No associations

Rating

Algebras from surfaces without punctures 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 Algebras from surfaces without punctures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebras from surfaces without punctures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-49693