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|
|Pages (from-to)||135 - 147|
|Number of pages||13|
|Journal||Journal of the London Mathematical Society|
|Publication status||Published - Aug 2007|