Jacobi-Trudi formulas and determinantal varieties

Published 15 Jun 2022 in math.CO and math.RT | (2206.07728v1)

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.

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