NEW HOMOGENEOUS IDEALS FOR CURRENT ALGEBRAS: FILTRATIONS, FUSION PRODUCTS AND PIERI RULES

被引：10
作者：
Fourier, Ghislain [1 ,2 ]
机构：
[1] Univ Cologne, Math Inst, Cologne, Germany
[2] Univ Glasgow, Sch Math & Stat, Glasgow G12 8QQ, Lanark, Scotland
来源：
MOSCOW MATHEMATICAL JOURNAL | 2015年 / 15卷 / 01期
关键词：
PBW filtration; fusion product; Pieri rule; Schur positivity; FINITE-DIMENSIONAL REPRESENTATIONS; LITTLEWOOD-RICHARDSON RULE; DEMAZURE MODULES; WEYL MODULES; TENSOR-PRODUCTS; CHARACTERS; CRYSTALS;
D O I：
10.17323/1609-4514-2015-15-1-49-72
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
New graded modules for the current algebra of sl(n), are introduced. Relating these modules to the fusion product of simple sl(n)-nodules and local Weyl modules of truncated current algebras shows their expected impact on several outstanding conjectures. We further generalize results oil PBW filtrations of simple sl(n)-modules and use them to provide decomposition formulas for these new modules in important cases.
引用
收藏
页码：49 / 72
页数：24
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