Jacobi-Trudi determinants over finite fields

DOI10.1007/s00026-018-0399-8zbMath1402.05214arXiv1611.00216OpenAlexW3100134283MaRDI QIDQ1787959

Rebecca Patrias, Yibo Gao, Ben Anzis, Zhaoqi Li, Jesse Kim, Shuli Chen

Publication date: 5 October 2018

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

Full work available at URL: https://arxiv.org/abs/1611.00216

zbMATH Keywords

Schur functionsfinite fieldsdeterminantsJacobi-Trudi identityHankel matrices

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Finite fields and commutative rings (number-theoretic aspects) (11T99)

Related Items (2)

On the rank of Hankel matrices over finite fields ⋮ Multislant matrices and Jacobi-Trudi determinants over finite fields

Cites Work

• Unnamed Item
• Unnamed Item
• \(K\)-Knuth equivalence for increasing tableaux
• Rank-metric codes and their duality theory
• Matrices with restricted entries and \(q\)-analogues of permutations
• Dual equivalence with applications, including a conjecture of Proctor
• \(q\)-rook polynomials and matrices over finite fields
• Counting matrices over finite fields with support on skew Young diagrams and complements of Rothe diagrams

This page was built for publication: Jacobi-Trudi determinants over finite fields