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Tensor Categories and Hopf Algebras

This volume contains the proceedings of the scientific session ""Hopf Algebras and Tensor Categories"", held from July 27-28, 2017, at the Mathematical Congress of the Americas in Montreal, Canada. Papers highlight the latest advances and research directions in the theory of tens...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Andruskiewitsch, Nicolás
Otros Autores: Nikshych, Dmitri
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2019.
Colección:Contemporary Mathematics Ser.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:This volume contains the proceedings of the scientific session ""Hopf Algebras and Tensor Categories"", held from July 27-28, 2017, at the Mathematical Congress of the Americas in Montreal, Canada. Papers highlight the latest advances and research directions in the theory of tensor categories and Hopf algebras. Primary topics include classification and structure theory of tensor categories and Hopf algebras, Gelfand-Kirillov dimension theory for Nichols algebras, module categories and weak Hopf algebras, Hopf Galois extensions, graded simple algebras, and bialgebra coverings.
Descripción Física:1 online resource (210 pages)
Bibliografía:ReferencesBialgebra coverings and transfer of structure; Introduction; 1. Measurings; 2. Partial Coverings and Transfer of Structure; 3. Cocommutative and Graded Coverings; 4. A Nichols Theorem for Hopf coverings; Acknowledgements; References; Classifying braidings on fusion categories; 1. Introduction; 2. Preliminaries; 3. Subcategories transversal to a Lagrangian algebra; 4. Braidings on non-degenerate fusion categories; 5. Braidings on group-theoretical categories; Acknowledgements; References; Remarks on global dimensions of fusion categories; 1. Introduction; 2. Preliminaries
ISBN:9781470452391
1470452391