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Quivers, long exact sequences and Horn type inequalities II

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arxiv 0805.1439 v1 pith:35EAH3VB submitted 2008-05-10 math.RT math.RA

Quivers, long exact sequences and Horn type inequalities II

classification math.RT math.RA
keywords lambdaexactlongpossibleabelianeigenvaluesexistsfinite
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We study the set of all m-tuples $(\lambda(1),...,\lambda(m))$ of possible types of finite abelian p-groups $M_{\lambda(1)}, ..., M_{\lambda(m)}$ for which there exists a long exact sequence $M_{\lambda(1)} \to ... \to M_{\lambda(m)}$. When m=3, we recover Fulton's results on the possible eigenvalues of majorized Hermitian matrices.

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