Diagrammatic morphisms between indecomposable modules of $\bar{U}_{q}(\mathfrak{sl}_{2})$

Abstract

We give diagrammatic formulae for morphisms between indecomposable representations of $\bar{U}_{q}(\mathfrak{sl}_{2})$ appearing in the decomposition of $\mathbb{C}^{\otimes 2n}$, including projections and second endomorphisms on projective indecomposable representations.