Asymptotic representations of augmented q-Onsager algebra and boundary K-operators related to Baxter Q-operators

We consider intertwining relations of the augmented q-Onsager algebra introduced by Ito and Terwilliger, and obtain generic (diagonal) boundary K-operators in terms of the Cartan element of Uq(sl2). These K-operators solve reflection equations. Taking appropriate limits of these K-operators in Verma modules, we derive K-operators for Baxter Q-operators and corresponding reflection equations.