Derivations of the Positive Part of the Two-parameter Quantum Group of Type G_(2)  

作　　者：Yong Yue ZHONG Xiao Min TANG 

机构地区：[1]School of Mathematical Sciences,Harbin Engineering University,Harbin 150001,P.R.China. [2]School of Mathematical Sciences,Heilongjiang University,Harbin 150080,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2021年第9期1471-1484,共14页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11771069);Natural Science Foundation of Heilongjiang Province(Grant No.LH2020A020)。

摘　　要：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 first Hochschild cohomology group of this algebra is a two-dimensional vector space over the complex field.

关 键 词：Two-parameter quantum group DERIVATION Hochschild cohomology group 

分 类 号：O152.5[理学—数学]