FS-indicators of pq-dimensional pointed Hopf algebras
Si Chen, Tiantian Liu, Linhong Wang, and Xingting Wang
TL;DR
This paper calculates higher Frobenius-Schur indicators for pq-dimensional pointed Hopf algebras in characteristic p, revealing gauge invariants that classify their representation categories.
Contribution
It introduces a method to compute indicators for these algebras via their associated graded structures, advancing understanding of their monoidal categories.
Findings
Indicators serve as gauge invariants for representation categories.
Explicit computations for pq-dimensional pointed Hopf algebras in characteristic p.
Enhances classification tools for Hopf algebra representations.
Abstract
We compute higher Frobenius-Schur indicators of pq-dimensional pointed Hopf algebras in characteristic p through their associated graded Hopf algebras. These indicators are gauge invariants for the monoidal categories of representations of these algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Operator Algebra Research