量子多项式代数上的非环面$$U_{q}(sl_{2})$$对称性 $$k_{q}[x^{\pm 1},y]$$

IF 0.7 4区数学 Q2 MATHEMATICS

Bulletin of The Iranian Mathematical Society Pub Date : 2023-11-23 DOI:10.1007/s41980-023-00832-1

Xuejun Xia, Xiaoming Li, Libin Li

引用次数: 0

摘要

本文给出了在量子多项式代数$k_q[x^{\pm 1},y]$上，当$U_{q}(sl_{2})$的发生器K的作用为非环面自同构时$U_{q}(sl_{2})$ -对称的完整列表。并探讨了这些结构同构的条件。

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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The Non-Toric $$U_{q}(sl_{2})$$ -Symmetries on Quantum Polynomial Algebra $$k_{q}[x^{\pm 1},y]$$

In this paper, we present the complete list of $U_{q}(sl_{2})$-symmetries on quantum polynomial algebra $k_q[x^{\pm 1},y]$ in the case that the action of the generator K of $U_{q}(sl_{2})$ is a non-toric automorphism. The conditions for the isomorphism of such structures are explored as well.

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来源期刊

Bulletin of The Iranian Mathematical Society Mathematics-General Mathematics

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： The Bulletin of the Iranian Mathematical Society (BIMS) publishes original research papers as well as survey articles on a variety of hot topics from distinguished mathematicians. Research papers presented comprise of innovative contributions while expository survey articles feature important results that appeal to a broad audience. Articles are expected to address active research topics and are required to cite existing (including recent) relevant literature appropriately. Papers are critically reviewed on the basis of quality in its exposition, brevity, potential applications, motivation, value and originality of the results. The BIMS takes a high standard policy against any type plagiarism. The editorial board is devoted to solicit expert referees for a fast and unbiased review process.