Schur-Weyl duality for toroidal algebras of type A

被引：0

作者：

Chari, Vyjayanthi ^{[1
]}

Grimley, Lauren ^{[2
]}

Lin, Zongzhu ^{[3
]}

Mangum, Chad R. ^{[4
]}

Uhl, Christine ^{[5
]}

Wilson, Evan ^{[6
]}

机构：

[1] Univ Calif Riverside, Riverside, CA USA

[2] Univ Oklahoma, Norman, OK USA

[3] Kansas State Univ, Manhattan, KS USA

[4] Clemson Univ, Clemson 29631, SC USA

[5] St Bonaventure Univ, St Bonaventure, NY USA

[6] Brightpoint Community Coll, Hist, Chester, VA USA

来源：

COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 11期

关键词：

Multiloop Lie algebras; Schur-Weyl duality; toroidal Lie algebras; LIE-ALGEBRAS; REPRESENTATIONS; AFFINE;

D O I：

10.1080/00927872.2024.2357732

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We state and prove an analog of the Schur-Weyl duality for a quotient of the classical 2-toroidal Lie algebra of type A. We then provide a method to extend this duality to the m-toroidal case, m > 2.

引用

页码：4749 / 4766

页数：18

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