Abstract
It is well known that the intersection multiplicities of Schubert classes in the Grassmannian are Littlewood-Richardson coefficients. We generalize this statement in the context of quiver representations. Here the intersection multiplicity of Schubert classes is replaced by the number of subrepresentations of a general quiver representation, and the Littlewood-Richardson coefficients are replaced by the dimension of a certain space of semi-invariants.
| Translated title of the contribution | On the number of subrepresentations of a general quiver representation |
|---|---|
| Original language | English |
| Pages (from-to) | 135 - 147 |
| Number of pages | 13 |
| Journal | Journal of the London Mathematical Society |
| Volume | 76 (1) |
| DOIs | |
| Publication status | Published - Aug 2007 |