Geodesic
Jacobi–Trudi formulas and determinantal varieties
Sam, Steven V1 ; Weyman, Jerzy2
1 Department of Mathematics, University of California, San Diego, CA USA
2 Department of Mathematics, Jagiellonian University, Kraków, Poland
Algebraic Combinatorics, Tome 6 (2023) no. 5, pp. 1163-1175

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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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DOI : 10.5802/alco.299
Classification : 05E05, 05E10
Keywords: symmetric functions, Jacobi-Trudi identity, BGG resolution

Sam, Steven V 1 ; Weyman, Jerzy 2

1 Department of Mathematics, University of California, San Diego, CA USA
2 Department of Mathematics, Jagiellonian University, Kraków, Poland
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Sam, Steven V; Weyman, Jerzy. Jacobi–Trudi formulas and determinantal varieties. Algebraic Combinatorics, Tome 6 (2023) no. 5, pp. 1163-1175. doi: 10.5802/alco.299

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