Abstract
Suppose that U is the quantized enveloping algebra of some finite-dimensional semisimple Lie algebra g and C is a right coideal subalgebra of U such that the group-like elements contained in C form a group. Then C is Artin–Schelter regular and twisted Calabi–Yau. The Nakayama automorphism of C is also determined if C is contained in the Borel part U⩾0.
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