Degree bounds for type-A weight rings and Gelfand--Tsetlin semigroups
| dc.creator | Howard, Benjamin J. | |
| dc.creator | McAllister, Tyrrell B. | |
| dc.date | 2008-12-03 | |
| dc.date | 2008-12-06 | |
| dc.date.accessioned | 2026-07-07T12:09:30Z | |
| dc.date.available | 2026-07-07T12:09:30Z | |
| dc.description | A weight ring in type A is the coordinate ring of the GIT quotient of the variety of flags in $\C^n$ modulo a twisted action of the maximal torus in $\SL(n,\C)$. We show that any weight ring in type A is generated by elements of degree strictly less than the Krull dimension, which is at worst $O(n^2)$. On the other hand, we show that the associated semigroup of Gelfand--Tsetlin patterns can have an essential generator of degree exponential in $n$. | |
| dc.description | 12 pages, 1 figure, v2: hyperref package options changed to suit non-pdf latex | |
| dc.identifier | https://arxiv.org/abs/0812.0826 | |
| dc.identifier | http://arxiv.org/abs/0812.0826 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209648 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14P25 (Primary) 17B10, 52B11 (Secondary) | |
| dc.title | Degree bounds for type-A weight rings and Gelfand--Tsetlin semigroups | |
| dc.type | text |