A Trace-Like Invariant for Representations of Hopf Algebras

DOI10.1080/00927870902933197zbMath1222.16021arXiv0910.5566OpenAlexW2059085480MaRDI QIDQ3057734

Andrea Jedwab

Publication date: 17 November 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.5566

zbMATH Keywords

Hopf algebrasantipodesDrinfeld doublesTaft algebrasrepresentations of simple modulestrace invariants

Mathematics Subject Classification ID

Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Representation theory of associative rings and algebras (16G99) Hopf algebras and their applications (16T05)

Related Items

Indecomposable decomposition of tensor products of modules over Drinfeld doubles of Taft algebras ⋮ McKay matrices for finite-dimensional Hopf algebras ⋮ The Second Indicator and the Trace of the Antipode for Representations of a Class of Hopf Algebras of Andruskiewitch-Schneider Type ⋮ Green rings of Drinfeld doubles of Taft algebras ⋮ Trace-Like Invariant for Representations of Nilpotent Liftings of Quantum Planes ⋮ On the trace of the antipode and higher indicators. ⋮ The pivotal cover and Frobenius-Schur indicators

Cites Work

• Unnamed Item
• Central invariants and Frobenius-Schur indicators for semisimple quasi-Hopf algebras.
• Computing the Frobenius-Schur indicator for Abelian extensions of Hopf algebras
• Self-dual modules of semisimple Hopf algebras.
• Irreducible representations of a class of quantum doubles
• Minimal quasitriangular Hopf algebras
• Frobenius-Schur indicators for subgroups and the Drinfel’d double of Weyl groups
• A class of noncommutative and noncocommutative hopf algebras: the quantum version
• A Frobenius-Schur theorem for Hopf algebras

This page was built for publication: A Trace-Like Invariant for Representations of Hopf Algebras