Mathematics – Representation Theory
Scientific paper
2011-12-28
Mathematics
Representation Theory
32 pages, 23 figures
Scientific paper
We classify the torsion pairs in a tube category and show that they are in bijection with maximal rigid objects in the extension of the tube category containing the Pruefer and adic modules. We show that the annulus geometric model for the tube category can be extended to the larger category and interpret torsion pairs, maximal rigid objects and the bijection between them geometrically. We also give a similar geometric description in the case of the linear orientation of a Dynkin quiver of type A.
Baur Karin
Buan Aslak Bakke
Marsh Robert J.
No associations
LandOfFree
Torsion pairs and rigid objects in tubes 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 Torsion pairs and rigid objects in tubes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Torsion pairs and rigid objects in tubes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-32546