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

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

Abstract

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

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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Bulletin of The Iranian Mathematical Society Mathematics-General Mathematics

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1.40

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0.00%

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