Jacobi-Trudi formulas and determinantal varieties
Combinatorics
2024-05-21 v1 Representation Theory
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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Cite
@article{arxiv.2206.07728,
title = {Jacobi-Trudi formulas and determinantal varieties},
author = {Steven V Sam and Jerzy Weyman},
journal= {arXiv preprint arXiv:2206.07728},
year = {2024}
}
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14 pages