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Advances in Hopf Algebras

Jeffrey Bergen, Susan Montgomery

2023111 citationsDOI

Abstract

Hopf Algebras and Local Galois Module Theory Quantum Commutativity and Central Invariants Generalized Smash Products and Morita Contexts for Arbitrary Hopf Algebras Algebras and Hopf Algebras in Braided Categories Quotient Theory of Hopf Algebras Cosemisimple Hopf Algebras Endomorphism Bialgebras of Diagrams and of Noncommutative Algebras and Spaces The (Almost) Right Connes Spectrum Hopf Galois Extensions, Crossed Products, and Clifford Theory Algebraic Aspects of Linearly Recursive Sequences Relations of Representations of Quantrum Groups and Finite Groups.

Topics & Concepts

Hopf algebraMathematicsQuantum groupNoncommutative geometryRepresentation theory of Hopf algebrasPure mathematicsQuasitriangular Hopf algebraAlgebra over a fieldEndomorphismAlgebra representationDivision algebraAlgebraic structures and combinatorial modelsAdvanced Topics in AlgebraRings, Modules, and Algebras