Irreducible representations of crossed products

DOI10.1016/S0022-4049(97)00077-7zbMath0932.16039MaRDI QIDQ1295558

Susan Montgomery, Sarah Witherspoon

Publication date: 14 December 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

crossed productssemisimple Hopf algebrasirreducible representationsirreducible modulesfinite-dimensional Hopf algebrasHopf algebras of prime power dimension

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Twisted and skew group rings, crossed products (16S35) Smash products of general Hopf actions (16S40)

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On biproducts and extensions, On the notion of exact sequence: From Hopf algebras to tensor categories, ON THE DIMENSION OF THE IRREDUCIBLE MODULES FOR SEMISIMPLE HOPF ALGEBRAS, Jordan-Hölder theorem for finite dimensional Hopf algebras, On Kaplansky's sixth conjecture, Weakly group-theoretical and solvable fusion categories, On Quasitriangular Structures in Hopf Algebras Arising from Exact Group Factorizations, Semisimple Hopf algebras of dimension 60., On normal Hopf subalgebras of semisimple Hopf algebras., Hopf algebra extensions of group algebras and Tambara-Yamagami categories., Hopf algebra deformations of binary polyhedral groups., HOMOLOGICAL DIMENSIONS OF CROSSED PRODUCTS, Structure of Semisimple Hopf Algebras of Dimensionp²q², Fusion rules of equivariantizations of fusion categories, Nilpotent fusion categories, Structure Theorems for Semisimple Hopf Algebras of Dimensionpq³, On semisimple Hopf algebras of dimension \(2^{m}\). II, On fusion rules and solvability of a fusion category, On braided fusion categories. I, Classification of Semisimple Hopf Algebras, Hopf Algebras, Commutator Hopf Subalgebras and Irreducible Representations, Solvability for semisimple Hopf algebras via integrals, Biproducts and Kashina's Examples, Extensions of tensor categories by finite group fusion categories, Solvable Hopf algebras and their twists, Identities of algebras with actions of Hopf algebras, On Kaplansky's fifth conjecture, On semisimple Hopf algebras of dimension \(pq^2\), Products in Hochschild cohomology and Grothendieck rings of group crossed products., Non‐existence of Hopf orders for a twist of the alternating and symmetric groups, A survey of Hopf algebras of low dimension., Computing the Frobenius-Schur indicator for Abelian extensions of Hopf algebras, Clifford correspondence for finite dimensional Hopf algebras, Clifford correspondence for algebras.

Cites Work

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