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

被引：0

作者：

Howard, Benjamin J. ^{[2
]}

McAllister, Tyrrell B. ^{[1
]}

机构：

[1] Univ Wyoming, Dept Math, Laramie, WY 82071 USA

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2011年 / 34卷 / 02期

关键词：

Weight ring; Weight variety; Cohen-Macaulay ring; Toric degeneration; Gelfand-Tsetlin pattern;

D O I：

10.1007/s10801-010-0269-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：237 / 249

页数：13

共 7 条

[1] Degree bounds for type-A weight rings and Gelfand–Tsetlin semigroups
Benjamin J. Howard
Tyrrell B. McAllister
Journal of Algebraic Combinatorics, 2011, 34 : 237 - 249
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