A two-dimensional pictorial presentation of Berele's insertion algorithm for symplectic tableaux
| dc.creator | Roby, Tom | |
| dc.creator | Terada, Itaru | |
| dc.date | 2004-07-03 | |
| dc.date.accessioned | 2026-07-07T05:09:56Z | |
| dc.date.available | 2026-07-07T05:09:56Z | |
| dc.description | We give the first two-dimensional pictorial presentation of Berele's correspondence \cite{Berele}, an analogue of the Robinson-Schensted (R-S) correspondence \cite{Robinson, Schensted} for the symplectic group $Sp(2n, \Cpx )$. From the standpoint of representation theory, the R-S correspondence combinatorially describes the irreducible decomposition of the tensor powers of the natural representation of $GL(n,\Cpx)$. Berele's insertion algorithm gives the bijection that describes the irreducible decomposition of the tensor powers of the natural representation of $Sp(2n, \Cpx)$. Two-dimensional pictorial presentations of the R-S correspondence via local rules (first given by S. Fomin \cite{Fomin,FominGen}) and its many variants have proven very useful in understanding their properties and creating new generalizations. We hope our new presentation will be similarly useful. | |
| dc.description | 42 pages | |
| dc.identifier | https://arxiv.org/abs/math/0407046 | |
| dc.identifier | http://arxiv.org/abs/math/0407046 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71768 | |
| dc.subject | Combinatorics | |
| dc.subject | Representation Theory | |
| dc.subject | 05E10, 05E15, 17B20, 20G05, 22E46 | |
| dc.title | A two-dimensional pictorial presentation of Berele's insertion algorithm for symplectic tableaux | |
| dc.type | text |