Quivers, long exact sequences and Horn type inequalities II

Details Quivers, long exact sequences and Horn type inequalities II Quivers, long exact sequences and Horn type inequalities II

2008-05-10

arxiv.org/abs/0805.1439v1

Mathematics

Representation Theory

Scientific paper

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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