Bethe subalgebras of Uq((gl)over-capn) via shuffle algebras

被引：0

作者：

Feigin, Boris ^{[1
]}

Tsymbaliuk, Alexander ^{[2
]}

机构：

[1] Natl Res Univ Higher Sch Econ, Int Lab Representat Theory & Math Phys, Moscow, Russia

[2] Simons Ctr Geometry & Phys, Stony Brook, NY 11794 USA

来源：

SELECTA MATHEMATICA-NEW SERIES | 2016年 / 22卷 / 02期

基金：

日本学术振兴会; 美国国家科学基金会;

关键词：

Toroidal algebra; Shuffle algebra; Bethe algebra; Drinfeld double; K-THEORY; REPRESENTATIONS;

D O I：

10.1007/s00029-015-0212-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we construct certain commutative subalgebras of the big shuffle algebra of type A(n-1)((1)). This can be considered as a generalization of the similar construction for the small shuffle algebra, obtained in Feigin et al. (J Math Phys 50(9): 42, 2009). We present a Bethe algebra realization of these subalgebras. The latter identifies them with the Bethe subalgebras of U-q ((gl) over cap (n)).

引用

页码：979 / 1011

页数：33

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