Jacobi-Trudi formulas and determinantal varieties
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866916250671644672 |
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| author | Sam, Steven V Weyman, Jerzy |
| author_facet | Sam, Steven V Weyman, Jerzy |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_07728 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Jacobi-Trudi formulas and determinantal varieties Sam, Steven V Weyman, Jerzy Combinatorics Representation Theory 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. |
| title | Jacobi-Trudi formulas and determinantal varieties |
| topic | Combinatorics Representation Theory |
| url | https://arxiv.org/abs/2206.07728 |