Fundamentals of Hopf algebras.

DOI10.1007/978-3-319-18991-8zbMath1341.16034OpenAlexW1189915029MaRDI QIDQ2348269

Robert G. Underwood

Publication date: 11 June 2015

Published in: Universitext (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18991-8

zbMATH Keywords

group algebrasGalois extensionsHopf algebrasbraid groupscoalgebrasintegralsHadamard productquantum Yang-Baxter equationbialgebrasHopf moduleslinearly recursive sequencesfinite automataformal languagesquasitriangular Hopf algebrasHopf-Galois extensionsHopf ordersMyhill-Nerode bialgebraMyhill-Nerode theorembraid relationscoordinate algebrasaffine varietiesfinite dualsHurwitz productpolynomial bialgebrasfundamental theorem for Hopf moduleslinear duals

Mathematics Subject Classification ID

Bialgebras (16T10) Hopf algebras and their applications (16T05) Yang-Baxter equations (16T25) Coalgebras and comodules; corings (16T15) Connections of Hopf algebras with combinatorics (16T30) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to associative rings and algebras (16-01)

Related Items (5)

THE GROUPS OF PRIME POWER ORDER AND THE STRUCTURE OF HOPF ALGEBRAS ⋮ Unnamed Item ⋮ Comparing topologies on linearly recursive sequences ⋮ Hopf orders in \(K [ C_p^3\) in characteristic \(p\)] ⋮ The ring of integers of Hopf-Galois degree \(p\) extensions of \(p\)-adic fields with dihedral normal closure

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