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

共 50 条

[41] Generalized Schur-Weyl dualities for quantum affine symmetric pairs and orientifold KLR algebras
Appel, Andrea
Przezdziecki, Tomasz
ADVANCES IN MATHEMATICS, 2023, 435
[42] An analogue of Schur-Weyl duality for the unitary group of a II1-factor
Nessonov, N. I.
SBORNIK MATHEMATICS, 2019, 210 (03) : 447 - 472
[43] Lefschetz property, Schur-Weyl duality and a q-deformation of Specht polynomial
Maeno, Toshiaki
COMMUNICATIONS IN ALGEBRA, 2007, 35 (04) : 1307 - 1321
[44] Duality of averaging of quantum states over arbitrary symmetry groups revealing Schur-Weyl duality
Markiewicz, Marcin
Przewocki, Janusz
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2023, 56 (39)
[45] Schur-Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra
Ehrig, Michael
Stroppel, Catharina
MATHEMATISCHE ZEITSCHRIFT, 2016, 284 (1-2) : 595 - 613
[46] Schur-Weyl duality and the product of randomly-rotated symmetries by a unitary Brownian motion
Demni, Nizar
Hamdi, Tarek
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2021, 24 (01)
[47] Weyl Modules for Toroidal Lie Algebras
Mukherjee, Sudipta
Pattanayak, Santosha Kumar
Sharma, Sachin S. S.
ALGEBRAS AND REPRESENTATION THEORY, 2023, 26 (06) : 2605 - 2626
[48] A Note on Schur-Weyl Dualities for GL(m) and GL(m|n)
Marko, Frantisek
ALGEBRAS AND REPRESENTATION THEORY, 2024, 27 (05) : 1957 - 1979
[49] The integral Schur-Weyl-Sergeev duality
Gu, Haixia
Li, Zhenhua
Lin, Yanan
JOURNAL OF PURE AND APPLIED ALGEBRA, 2022, 226 (09)
[50] Quiver Schur algebras and Koszul duality
Maksimau, Ruslan
JOURNAL OF ALGEBRA, 2014, 406 : 91 - 133

← 1 2 3 4 5 →