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

DOI10.1007/S10114-021-9571-XarXiv2003.06078MaRDI QIDQ6336674

Xiaomin Tang, Yong Yue Zhong

Publication date: 12 March 2020

Abstract: 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.

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Cohomology of Lie (super)algebras (17B56)

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