Analogue of Feigin's map on $ı$quantum group of split type

Abstract

The (universal) $ı$quantum groups are as a vast generalization of (Drinfeld double) quantum groups. We establish an algebra homomorphism from universal $ı$quantum group of split type to a certain quantum torus, which can be viewed as an $ı$analogue of Feigin's map on the quantum group.

31 pages