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 Quivers, long exact sequences and Horn type inequalities


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We give necessary and sufficient inequalities for the existence of long exact sequences of m finite abelian p-groups with fixed isomorphy types. This problem is related to some generalized Littlewood-Richardson coefficients that we define in this paper. We also show how this problem is related to eigenvalues of Hermitian matrices satisfying certain inequalities. When m=3, we recover the Horn type inequalities that solve the saturation conjecture for Littlewood-Richardson coefficients and Horns conjecture.



Autor: Calin Chindris

Fuente: https://archive.org/







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