The cell modules of the Green algebra of Drinfel'd quantum double \(D(H_4)\) (Q2150690)

Based on authors' abstract: In this paper the authors study the structure of the cell modules of the complexified Green algebra \(R\left( D \left( H_4 \right) \right)\), where \( D \left( H_4\right)\) is the Drinfel'd quantum double of the Sweedler's 4-dimensional Hopf algebra \(H_4\). The authors show that \(R\left( D \left( H_4 \right) \right)\) has one infinite dimensional cell module, one 4-dimensional cell module generated by all finite dimensional indecomposable projective modules of \(D \left( H_4\right)\) and infinitely many 2-dimensional cell modules.