On the computation of Kronecker coefficients I: column-row polytopes
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917179618754560 |
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| author | Vallejo, Ernesto Salazar, Pedro David Sánchez |
| author_facet | Vallejo, Ernesto Salazar, Pedro David Sánchez |
| contents | We present a way of computing Kronecker coefficients that uses a new family of rational convex polytopes, called column-row polytopes. We give several different formulas for the computation. They are alternating sums of numbers of integer points of either column-row polytopes or faces of column-row polytopes. We also compute the maximal dimension of these polytopes and give new proofs of some known results of more theoretical nature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_16278 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the computation of Kronecker coefficients I: column-row polytopes Vallejo, Ernesto Salazar, Pedro David Sánchez Combinatorics Representation Theory 05E10, 20C30 (Primary), 52B11 (Secondary) We present a way of computing Kronecker coefficients that uses a new family of rational convex polytopes, called column-row polytopes. We give several different formulas for the computation. They are alternating sums of numbers of integer points of either column-row polytopes or faces of column-row polytopes. We also compute the maximal dimension of these polytopes and give new proofs of some known results of more theoretical nature. |
| title | On the computation of Kronecker coefficients I: column-row polytopes |
| topic | Combinatorics Representation Theory 05E10, 20C30 (Primary), 52B11 (Secondary) |
| url | https://arxiv.org/abs/2510.16278 |