Missouri Journal of Mathematical Sciences

Indicators of Pointed Hopf Algebras of Dimensions $pq$ Over Characteristic $p$

Si Chen, Tiantian Liu, Linhong Wang, and Xingting Wang

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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.

Article information

Missouri J. Math. Sci., Volume 30, Issue 2 (2018), 176-184.

First available in Project Euclid: 7 December 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 16T05: Hopf algebras and their applications [See also 16S40, 57T05]

pointed Hopf algebras FS-indicators positive characteristic


Chen, Si; Liu, Tiantian; Wang, Linhong; Wang, Xingting. Indicators of Pointed Hopf Algebras of Dimensions $pq$ Over Characteristic $p$. Missouri J. Math. Sci. 30 (2018), no. 2, 176--184. doi:10.35834/mjms/1544151694. https://projecteuclid.org/euclid.mjms/1544151694

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