由$\imath$量子覆叠群产生的正则基
Canonical bases arising from $\imath$quantum covering groups
摘要：
对于超Kac-Moody型的$\imath$量子覆叠群$(\mathbf{U}, \mathbf{U}^\imath)$，我们构造了最高权可积$\mathbf{U}$ -模及其张量积作为$\mathbf{U}^\imath$ -模的$\imath$ -正则基，以及$\imath$量子群$\mathbf{U}^\imath$的修正形式的正则基，利用$\imath^π$ -除幂，对$\mathbf{U}^\imath$秩为1的正则基.
英文摘要：
For $\imath$quantum covering groups $(\mathbf{U}, \mathbf{U}^\imath)$ of super Kac-Moody type, we construct $\imath$-canonical bases for the highest weight integrable $\mathbf{U}$-modules and their tensor products regarded as $\mathbf{U}^\imath$-modules, as well as a canonical basis for the modified form of the $\imath$quantum group $\mathbf{U}^\imath$, using the $\imath^π$-divided powers, rank one canonical basis for $\mathbf{U}^\imath$.
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