Smith normal form of a multivariate matrix associated with partitions

DOI10.1007/s10801-014-0527-4zbMath1307.05009arXiv1311.6123OpenAlexW1985577428MaRDI QIDQ2256055

Richard P. Stanley, Christine Bessenrodt

Publication date: 19 February 2015

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6123

zbMATH Keywords

partitionsdeterminantslattice pathsSmith normal form\(q\)-Catalan numbers.

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20)

Related Items (5)

Orthogonal polynomials and Smith normal form ⋮ Bessenrodt-Stanley polynomials and the octahedron recurrence ⋮ In memoriam: Christine Bessenrodt (1958--2022) ⋮ The Smith normal form of a specialized Jacobi-Trudi matrix ⋮ Smith normal form in combinatorics

Cites Work

• q-Catalan numbers
• Unimodular arrays
• Some remarks on ballot-type sequences of positive integers
• A class of convolution codes
• Unnamed Item
• Unnamed Item

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