统一根的 Dipper Donkin 量化矩阵代数和反射方程代数

IF 0.5 4区数学 Q3 MATHEMATICS

Algebras and Representation Theory Pub Date : 2023-10-10 DOI:10.1007/s10468-023-10235-9

Sanu Bera, Snehashis Mukherjee

引用次数: 0

摘要

本文对标题中的量子化矩阵代数进行了同根研究。明确提出了这种 2 度量化矩阵代数上的简单模块的完整分类，以及一些有限维不可分解模块。

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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Dipper Donkin Quantized Matrix Algebra and Reflection Equation Algebra at Root of Unity

In this article the quantized matrix algebras as in the title have been studied at a root of unity. A full classification of simple modules over such quantized matrix algebras of degree 2 along with some finite-dimensional indecomposable modules are explicitly presented.

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来源期刊

Algebras and Representation Theory 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebras and Representation Theory features carefully refereed papers relating, in its broadest sense, to the structure and representation theory of algebras, including Lie algebras and superalgebras, rings of differential operators, group rings and algebras, C*-algebras and Hopf algebras, with particular emphasis on quantum groups. The journal contains high level, significant and original research papers, as well as expository survey papers written by specialists who present the state-of-the-art of well-defined subjects or subdomains. Occasionally, special issues on specific subjects are published as well, the latter allowing specialists and non-specialists to quickly get acquainted with new developments and topics within the field of rings, algebras and their applications.