Degree bounds for type-A weight rings and Gelfand–Tsetlin semigroups

被引：0
|
作者：
Benjamin J. Howard
Tyrrell B. McAllister
机构：
[1] University of Michigan,Mathematics Department
[2] University of Wyoming,Department of Mathematics
来源：
Journal of Algebraic Combinatorics | 2011年 / 34卷
关键词：
Weight ring; Weight variety; Cohen–Macaulay ring; Toric degeneration; Gelfand–Tsetlin pattern;
D O I：
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摘要：
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.
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页码：237 / 249
页数：12
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