Generalizes results on indecomposable representations with invariant inner product, suggesting new insights for quantum groups and Taft algebras.
We generalize a result of Araki (1985) on indecomposable group representations with invariant (necessarily indefinite) inner product and irreducible subrepresentation to Hopf *-algebras. Moreover, we characterize invariant inner products on the projective indecomposable representations of small quantum groups U qsl(2) at odd roots of unity and on the indecomposable representations of generalized Taft algebras H n,d(q) .
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Kolt et al. (2026) studied this question.
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