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Hopf algebras and Galois module theory

By: Childs, Lindsay.
Contributor(s): Greither, Cornelius | Keating, Kevin P | Koch, Alan | Kohl, Timothy | Truman, Paul J | Underwood, Robert G.
Series: Mathematical surveys and monographs v.260.Publisher: Providence : American Mathematical Society, 2021Description: vii, 311 p. ; ill., 26 cm.ISBN: 9781470465162.Subject(s): Galois modules | Algebra | Hopf algebras | Affine group:Bondarko diagram | Byott | Child's theorem | Featherstonhaugh's Theorem | Hall's Theorem | Isomorphic | K-algebra | Kohl's Theorem | Left regular representation | Morita theory | Noether's Theorem | Ramification | Skew brace | Stable extension | TeichmillerDDC classification: 512.55 Summary: Hopf algebras have been shown to play a natural role in studying questions of integral module structure in extensions of local or global fields. This book surveys the state of the art in Hopf-Galois theory and Hopf-Galois module theory.
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Includes bibliographical references and index.

Hopf algebras have been shown to play a natural role in studying questions of integral module structure in extensions of local or global fields. This book surveys the state of the art in Hopf-Galois theory and Hopf-Galois module theory.

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