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Indicators of pointed Hopf algebras of dimensions \(pq\) over characteristic \(p\). (English) Zbl 1412.16022
Summary: Let \(p\), \(q\) be two distinct primes. We consider pointed Hopf algebras of dimension \(pq\) over an algebraically closed field of characteristic \(p\). We compute higher Frobenius-Schur indicators of these Hopf algebras through the associated graded Hopf algebras with respect to their coradical filtrations. The resulting indicators are gauge invariants for the monoidal representation categories of these algebras.
MSC:
16T05 Hopf algebras and their applications
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Full Text: Euclid