Indecomposable Hopf *-algebra representations with invariant inner product

Key Points

• To generalize a result regarding indecomposable group representations with invariant inner products to the realm of Hopf *-algebras.
• Generalization of Araki's result to Hopf *-algebras
• Characterization of invariant inner products on projective indecomposable representations
• Analysis of indecomposable representations of generalized Taft algebras.
• Identification of invariant inner products on projective indecomposable representations of small quantum groups at odd roots of unity.
• Characterization of invariant inner products on indecomposable representations of generalized Taft algebras.

Abstract