论文标题

$ g_2 $的两参数量子组的积极部分的派生

Derivations of the Positive Part of the Two-parameter Quantum Group of type $G_2$

论文作者

Zhong, Yongyue, Tang, Xiaomin

论文摘要

在本文中,我们通过将其嵌入量子圆环中来计算两参数量子量子组的正量子组的衍生物。我们还表明,该代数的Hochschild共同体学$ 1 $是复杂场上的二维矢量空间。

In this paper, we compute the derivations of the positive part of the two-parameter quantum group of type $G_2$ by embedding it into a quantum torus. We also show that the Hochschild cohomology group of degree $1$ of this algebra is a two dimensional vector space over the complex field.

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