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math.RA2024
RSK as a linear operator
Ada Stelzer, Alexander Yong
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 coordinat…
math.RT2024
Representations from matrix varieties, and filtered RSK
Abigail Price, Ada Stelzer, Alexander Yong
Matrix Schubert varieties (Fulton '92) carry natural actions of Levi groups. Their coordinate rings are thereby Levi-representations; what is a combinatorial counting rule for the…