Bijective Proofs of Shifted Tableau and Alternating Sign Matrix Identities
| dc.creator | Hamel, A. M. | |
| dc.creator | King, R. C. | |
| dc.date | 2005-07-22 | |
| dc.date | 2006-03-02 | |
| dc.date.accessioned | 2026-07-07T06:42:40Z | |
| dc.date.available | 2026-07-07T06:42:40Z | |
| dc.description | We give a bijective proof of an identity relating primed shifted gl(n)-standard tableaux to the product of a gl(n) character in the form of a Schur function and a product of sums of x and y terms. This result generalises a number of well--known results due to Robbins and Rumsey, Chapman, Tokuyama, Okada and Macdonald. An analogous result is then obtained in the case of primed shifted sp(2n)-standard tableaux which are bijectively related to the product of a t-deformed sp(2n) character and another x and y product. All results are also interpreted in terms of alternating sign matrix identities, including a result regarding subsets of ASMs specified by conditions on certain restricted column sums. | |
| dc.description | v2: minor revisions | |
| dc.identifier | https://arxiv.org/abs/math/0507479 | |
| dc.identifier | http://arxiv.org/abs/math/0507479 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102126 | |
| dc.subject | Combinatorics | |
| dc.subject | 05E10 | |
| dc.title | Bijective Proofs of Shifted Tableau and Alternating Sign Matrix Identities | |
| dc.type | text |