On the number of subrepresentations of a general quiver representation

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It is well-known that the intersection multiplicities of Schubert classes in the Grassmanian 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 reprsentation, and the Littlewood-Richardson coefficients are replaced by the the dimension of a certain space of semiinvariants.
15 pages, new section on good filtrations

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Algebraic Geometry, 16G20,13A50, 14N15, 14C17

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http://salesiana.dossiersoluciones.com/handle/123456789/102119

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507393
 http://arxiv.org/abs/math/0507393

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arXiv