Claus Michael Ringel
Published 2016-12-29Version 1
The 3-Kronecker quiver has two vertices, namely a sink and a source, and 3 arrows. A regular representation of a representation-infinite quiver such as the 3-Kronecker quiver is said to be elementary provided it is non-zero and not a proper extension of two regular representations. Of course, any regular representation has a filtration whose factors are elementary, thus the elementary representations may be considered as the building blocks for obtaining all the regular representations. We are going to determine the elementary $3$-Kronecker modules. It turns out that all the elementary modules are combinatorially defined.
Combinatorial aspects of extensions of Kronecker modules
Representations of the orthosymplectic Yangian
On a curious variant of the $S_n$-module $Lie_n$
![QR code for arXiv:1612.09141 [math.RT]](http://oss.arxitics.com/images/favicon.svg)