Degree bounds for type-A weight rings and Gelfand--Tsetlin semigroups
Algebraic Geometry
2008-12-06 v2 Representation Theory
Abstract
A weight ring in type A is the coordinate ring of the GIT quotient of the variety of flags in modulo a twisted action of the maximal torus in . 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 . On the other hand, we show that the associated semigroup of Gelfand--Tsetlin patterns can have an essential generator of degree exponential in .
Keywords
Cite
@article{arxiv.0812.0826,
title = {Degree bounds for type-A weight rings and Gelfand--Tsetlin semigroups},
author = {Benjamin J. Howard and Tyrrell B. McAllister},
journal= {arXiv preprint arXiv:0812.0826},
year = {2008}
}
Comments
12 pages, 1 figure, v2: hyperref package options changed to suit non-pdf latex