Séminaire Lotharingien de Combinatoire, 93B.24 (2025), 12 pp.

Ada Stelzer and Alexander Yong

RSK as a Linear Operator

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.

Received: November 15, 2024. Accepted: February 15, 2025. Final version: April 1, 2025.

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