Derivations and automorphisms of the positive part of the two-parameter quantum group Ur,s(B3)
Derivations and automorphisms of the positive part of the two-parameter quantum group Ur,s(B3)
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DOI：
10.1007/s10114-017-5787-1
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发表时间：
2017-01
期刊：
影响因子：
--
通讯作者：
Min Li;Xiuling Wang
中科院分区：
文献类型：
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作者：
Min Li;Xiuling Wang
计算了双参数量子群Ur，s（B3）的正部分的导子，证明了该代数的一次Hochschild上同调群是基域C上的三维向量空间.我们还计算了增广双参数量子化包络代数r，s≥0（B3）的（Hopf）代数自同构群.
We compute the derivations of the positive part of the two-parameter quantum groupUr,s(B3) and show that the Hochschild cohomology group of degree 1 of this algebra is a three-dimensional vector space over the base field C. We also compute the groups of (Hopf) algebra automorphisms of the augmented two-parameter quantized enveloping algebraǓr,s≥0(B3).