Canonical bases arising from $ı$quantum covering groups

Abstract

For $ı$quantum covering groups $(\mathbf{U},{\mathbf{U}}^{ı})$ of super Kac-Moody type, we construct $ı$-canonical bases for the highest weight integrable $\mathbf{U}$-modules and their tensor products regarded as ${\mathbf{U}}^{ı}$-modules, as well as a canonical basis for the modified form of the $ı$quantum group ${\mathbf{U}}^{ı}$, using the ${ı}^{\pi }$-divided powers, rank one canonical basis for ${\mathbf{U}}^{ı}$.

29 pages including references

References in corpus (1)

• A Serre presentation for the $ı$quantum covering groups