Derivations of the Two-Parameter Quantized Enveloping Algebra
Derivations of the Two-Parameter Quantized Enveloping Algebra
复制标题
二参数量化包络代数的推导
DOI：
10.1080/00927872.2012.706840
复制
发表时间：
2011
影响因子：
0.7
通讯作者：
Xin Tang
中科院分区：
文献类型：
--
作者：
Xin Tang
令 r, s 为从 ℂ* 中选择的两个参数，使得 rmsn = 1 意味着 m = n = 0。我们计算双参数量化包络代数的导数并计算其一级 Hochschild 上同调群。我们进一步确定了二参数 Hopf 代数 的代数自同构群。结果，我们确定了 的 Hopf 代数自同构群。
Let r, s be two parameters chosen from ℂ* such that rmsn = 1 implies m = n = 0. We compute the derivations of the two-parameter quantized enveloping algebra and calculate its first degree Hochschild cohomology group. We further determine the group of algebra automorphisms for the two-parameter Hopf algebra . As a result, we determine the group of Hopf algebra automorphisms for .