Quasipolynomial formulas for the Kronecker coefficients indexed by two two-row shapes (extended abstract)
| dc.creator | Briand, Emmanuel | |
| dc.creator | Orellana, Rosa | |
| dc.creator | Rosas, Mercedes | |
| dc.date | 2008-12-04 | |
| dc.date.accessioned | 2026-07-07T12:09:20Z | |
| dc.date.available | 2026-07-07T12:09:20Z | |
| dc.description | We show that the Kronecker coefficients (the Clebsch-Gordan coefficients of the symmetric group) indexed by two two-row shapes are given by quadratic quasipolynomial formulas whose domains are the maximal cells of a fan. Simple calculations provide explicitly the quasipolynomial formulas and a description of the associated fan. These new formulas are obtained from analogous formulas for the corresponding reduced Kronecker coefficients and a formula recovering the Kronecker coefficients from the reduced Kronecker coefficients. As an application, we characterize all the Kronecker coefficients indexed by two two-row shapes that are equal to zero. This allowed us to disprove a conjecture of Mulmuley about the behavior of the stretching functions attached to the Kronecker coefficients. | |
| dc.description | 12 pages. See also http://emmanuel.jean.briand.free.fr/publications/ | |
| dc.identifier | https://arxiv.org/abs/0812.0861 | |
| dc.identifier | http://arxiv.org/abs/0812.0861 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209590 | |
| dc.subject | Combinatorics | |
| dc.subject | Representation Theory | |
| dc.title | Quasipolynomial formulas for the Kronecker coefficients indexed by two two-row shapes (extended abstract) | |
| dc.type | text |