The Generators and Relations for Little q-Schur Algebra u_k(3,5)

Q3 Multidisciplinary

Wuhan University Journal of Natural Sciences Pub Date : 2023-10-01 DOI:10.1051/wujns/2023285385

Mingqiang LIU, Qian YANG

引用次数: 0

Abstract

In this paper, we investigate the presentation for little q -Schur algebra [see formula in PDF] at odd roots. The Poincaré-Birkhoff-Witt (PBW) basis of [see formula in PDF] is obtained through the basis of q -Schur algebra [see formula in PDF]. Then we present a new set for generators and relations for [see formula in PDF] by PBW basis.

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小q-Schur代数uk(3,5)的生成和关系

在本文中，我们研究了奇根下小q -Schur代数的表示[见公式]。通过q -Schur代数的基础[见公式]得到[见公式]的poincar - birkhoff - witt (PBW)基。然后在PBW的基础上给出了一个新的生成器和关系集[见公式]。

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

Wuhan University Journal of Natural Sciences Multidisciplinary-Multidisciplinary

CiteScore

0.40

自引率

0.00%

发文量

2485

期刊介绍： Wuhan University Journal of Natural Sciences aims to promote rapid communication and exchange between the World and Wuhan University, as well as other Chinese universities and academic institutions. It mainly reflects the latest advances being made in many disciplines of scientific research in Chinese universities and academic institutions. The journal also publishes papers presented at conferences in China and abroad. The multi-disciplinary nature of Wuhan University Journal of Natural Sciences is apparent in the wide range of articles from leading Chinese scholars. This journal also aims to introduce Chinese academic achievements to the world community, by demonstrating the significance of Chinese scientific investigations.

The Generators and Relations for Little q-Schur Algebra uk(3,5)

Abstract

The Generators and Relations for Little q-Schur Algebra u_k(3,5)