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

页码：49 / 72

页数：24

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