The R-matrix of the quantum toroidal algebra

IF 0.5 4区数学 Q3 MATHEMATICS

Kyoto Journal of Mathematics Pub Date : 2023-02-01 DOI:10.1215/21562261-2022-0030

Andrei Neguţ

引用次数: 4

Abstract

We consider the R-matrix of the quantum toroidal algebra of type gl1, both abstractly and in Fock space representations. We provide a survey of a certain point of view on this object which involves the elliptic Hall and shuffle algebras, and we show how to obtain certain explicit formulas.

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量子环面代数的r矩阵

我们考虑了gl1型量子环面代数的r矩阵的抽象和Fock空间表示。本文综述了椭圆霍尔代数和洗牌代数在这一问题上的某些观点，并给出了如何得到某些显式公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Kyoto Journal of Mathematics MATHEMATICS-

CiteScore

1.10

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyoto Journal of Mathematics publishes original research papers at the forefront of pure mathematics, including surveys that contribute to advances in pure mathematics.