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QUIVERS, LONG EXACT SEQUENCES AND HORN TYPE INEQUALITIES II
Published online by Cambridge University Press: 01 May 2009
Abstract
We study the set of all m-tuples (λ(1), . . ., λ(m)) of possible types of finite abelian p-groups Mλ(1), . . ., Mλ(m) for which there exists a long exact sequence Mλ(1) → ⋅⋅⋅ → Mλ(m). When m=3, we recover W. Fulton's (Eigenvalues of majorized Hermitian matrices and Littlewood-Richardson coefficients (Special Issue: Workshop on Geometric and combinatorial Methods in the Hermitian Sum Spectral Problem), Linear Algebra Appl. 319(1–3) (2000), 23–36) results on the possible eigenvalues of majorized Hermitian matrices.
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- Copyright © Glasgow Mathematical Journal Trust 2008