2008/12/03 by Benjamin Howard, Benjamin J. Howard, Howard, Benjamin J. +2 · 1 citation
Computer Science · Mathematics · #14P25 (Primary) 17B10 #52B11 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Representation Theory (math.RT) #math.AG #math.RT #msc:14P25 #msc:17B10 #msc:52B11 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.0812.0826
12 pages, 1 figure, v2: hyperref package options changed to suit non-pdf latex
openalex publication_date 2008/12/03 · arxiv created 2008/12/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A weight ring in type A is the coordinate ring of the GIT quotient of the variety of flags in \Cn 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(n2). On the other hand, we show that the associated semigroup of Gelfand--Tsetlin patterns can have an essential generator of degree exponential in n.