1.

Record Nr.

UNINA9910481004003321

Titolo

Hopf algebras and tensor categories : international conference, July 4-8, 2011, University of Almería, Almería, Spain / / Nicolás Andruskiewitsch, Juan Cuadra, Blas Torrecillas, editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2013

©2013

ISBN

0-8218-9498-6

Descrizione fisica

1 online resource (346 p.)

Collana

Contemporary Mathematics, , 1098-3627 ; ; Volume 585

Disciplina

512/.46

Soggetti

Hopf algebras

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Preface""; ""Conference program""; ""Unified products and split extensions of Hopf algebras""; ""Introduction""; ""1. Preliminaries""; ""2. Unifying products versus split extensions of Hopf algebras""; ""References""; ""Hopf monoids in the category of species""; ""Introduction""; ""1. Preliminaries on compositions and partitions""; ""2. Species and Hopf monoids""; ""3. The Hadamard product""; ""4. Set species and set-theoretic Hopf monoids""; ""5. Connected Hopf monoids""; ""6. The free monoid""; ""7. The free commutative monoid""; ""8. The free Lie monoid""; ""9. Examples of Hopf monoids""

""On the double crossed product of weak Hopf algebras""""Introduction""; ""1. Double crossed product of weak bialgebras""; ""2. The antipode""; ""3. Examples""; ""Appendix A. Diagrams""; ""References""; ""The doubles of a braided Hopf algebra""; ""Introduction""; ""1. Preliminaries on categories""; ""2. Hopf algebras in braided categories""; ""3. Hopf monads""; ""4. The central double of a Hopf algebra""; ""5. Cross products and cross quotients of Hopf monads""; ""References""; ""Induced Conjugacy Classes and Induced   _{  }(  )-Modules""; ""1. Introduction""; ""2. Notation""; ""References""

""Recovering information from character tables of Hopf algebras: normality, dimensions and quotients""""introduction""; ""Preliminaries""; ""1. Retrieving information from the character table"";



""Acknowledgments""; ""References""; ""Hom-quasi-bialgebras""; ""1. Introduction""; ""2. Overview of Hom-associative algebras, Hom-coalgebras and Hom-bialgebras""; ""3. Hom-quasi-bialgebras (HQ-bialgebras)""; ""4. Gauge Transformation and Drinfeld�s Twist Construction for HQ-bialgebras""; ""5. Twisted quantum double, an example""; ""References""

""On twisted conjugacy classes of type D in sporadic simple groups""""1. Introduction""; ""2. Preliminaries""; ""3. Proof of Theorem 1.1""; ""4. Appendix: the sporadic simple groups""; ""References""; ""Partial and unified crossed products are weak crossed products""; ""Introduction""; ""1. The general theory of weak crossed products""; ""2. Partial crossed products are weak crossed products""; ""3. Unified products are weak crossed products""; ""References""; ""The Green rings of the generalized Taft Hopf algebras""; ""1. Introduction""

""2. Representation theory of the generalized Taft algebra   _{  ,  }""