Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110214Every finite dimensional Hopf algebra is a Frobenius algebra, with Frobenius homomorphism given by an integral. The Nakayama automorphism determined by it yields a decomposition with degrees in a cyclic group. For a family of pointed Hopf algebras, we determine necessary and sufficient conditions for this decomposition to be strongly graded.8 pagesQuantum AlgebraRings and Algebras16W30; 16W50Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphismtext