Elementary divisors and ranked posets with application to matrix compounds *

DOI10.1080/03081089108818058zbMath0755.06004OpenAlexW2065341205MaRDI QIDQ3978376

Richard A. Brualdi, Keith L. Chavey

Publication date: 25 June 1992

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081089108818058

zbMATH Keywords

ranked posetJordan blockWhitney numberselementary divisorsYoung's latticegeneralized incidence matrix

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorics of partially ordered sets (06A07)

Related Items (2)

The symbiotic relationship of combinatorics and matrix theory ⋮ On discriminant matrices

Cites Work

• Unnamed Item
• Combinatorial verification of the elementary divisors of tensor products
• A partition of L(3,n) into saturated symmetric chains
• A symmetric chain decomposition of L(4,n)
• Elementary divisors of induced transformations on symmetry classes of tensors
• Acyclic Digraphs, Young Tableaux and Nilpotent Matrices
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
• Elementary divisors of transformations related to tensor powers
• Solution of Two Difficult Combinatorial Problems with Linear Algebra
• The Normal Form of Compound and Induced Matrices
• On Induced and Compound Matrices

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