paper

Jacobi-Trudi formulas and determinantal varieties

arXiv:2206.07728 · doi:10.5802/alco.299

Abstract

Gessel gave a determinantal expression for certain sums of Schur functions which visually looks like the classical Jacobi-Trudi formula. We explain the commonality of these formulas using a construction of Zelevinsky involving BGG complexes and use this explanation to generalize this formula in a few different directions.

14 pages

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