RSK as a linear operator
Abstract
Abstract The Robinson–Schensted–Knuth correspondence (RSK) is a bijection between nonnegative integer matrices and pairs of Young tableaux. We study it as a linear operator on the coordinate ring of matrices, proving results about its diagonalizability, eigenvalues, trace, and determinant. Our criterion for diagonalizability involves the ADE classification of Dynkin diagrams, as well as the diagram for $$E_9$$ E 9 .
Fields of Study & Subjects
Algebraic structures and combinatorial models
Advanced Combinatorial Mathematics
Commutative Algebra and Its Applications
Publication details
- Journal / source
- Selecta Mathematica
- Volume
- 32
- Issue
- 4
- Publication date
- 24 August 2026
- Language
- EN