Quasi Hopf Algebras
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Quasi Hopf Algebras
Author | : Daniel Bulacu,Stefaan Caenepeel,Florin Panaite,Freddy Van Oystaeyen |
Publsiher | : Cambridge University Press |
Total Pages | : 545 |
Release | : 2019-02-21 |
Genre | : Mathematics |
ISBN | : 9781108427012 |
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This self-contained book dedicated to Drinfeld's quasi-Hopf algebras takes the reader from the basics to the state of the art.
Hopf Algebras and Generalizations
Author | : Louis H. Kauffman,David E. Radford,Fernando José Oliveira Souza |
Publsiher | : American Mathematical Soc. |
Total Pages | : 186 |
Release | : 2007 |
Genre | : Hopf algebras |
ISBN | : 9780821838204 |
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Hopf algebras have proved to be very interesting structures with deep connections to various areas of mathematics, particularly through quantum groups. Indeed, the study of Hopf algebras, their representations, their generalizations, and the categories related to all these objects has an interdisciplinary nature. It finds methods, relationships, motivations and applications throughout algebra, category theory, topology, geometry, quantum field theory, quantum gravity, and also combinatorics, logic, and theoretical computer science. This volume portrays the vitality of contemporary research in Hopf algebras. Altogether, the articles in the volume explore essential aspects of Hopf algebras and some of their best-known generalizations by means of a variety of approaches and perspectives. They make use of quite different techniques that are already consolidated in the area of quantum algebra. This volume demonstrates the diversity and richness of its subject. Most of its papers introduce the reader to their respective contexts and structures through very expository preliminary sections.
Hopf Algebras in Noncommutative Geometry and Physics
Author | : Stefaan Caenepeel,Fred Van Oystaeyen |
Publsiher | : CRC Press |
Total Pages | : 344 |
Release | : 2019-05-07 |
Genre | : Mathematics |
ISBN | : 9781482276718 |
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This comprehensive reference summarizes the proceedings and keynote presentations from a recent conference held in Brussels, Belgium. Offering 1155 display equations, this volume contains original research and survey papers as well as contributions from world-renowned algebraists. It focuses on new results in classical Hopf algebras as well as the
Hopf Algebras and Quantum Groups
Author | : Stefaan Caenepeel,Freddy Van Oystaeyen |
Publsiher | : CRC Press |
Total Pages | : 332 |
Release | : 2000-04-05 |
Genre | : Science |
ISBN | : 0824703952 |
Download Hopf Algebras and Quantum Groups Book in PDF, Epub and Kindle
This volume is based on the proceedings of the Hopf-Algebras and Quantum Groups conference at the Free University of Brussels, Belgium. It presents state-of-the-art papers - selected from over 65 participants representing nearly 20 countries and more than 45 lectures - on the theory of Hopf algebras, including multiplier Hopf algebras and quantum groups.
Hopf Algebras
Author | : David E. Radford |
Publsiher | : World Scientific |
Total Pages | : 584 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 9789814338660 |
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The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. It is intended to be a graduate text as well as a research monograph.
An Introduction to Quasisymmetric Schur Functions
Author | : Kurt Luoto,Stefan Mykytiuk,Stephanie van Willigenburg |
Publsiher | : Springer Science & Business Media |
Total Pages | : 101 |
Release | : 2013-06-19 |
Genre | : Computers |
ISBN | : 9781461473008 |
Download An Introduction to Quasisymmetric Schur Functions Book in PDF, Epub and Kindle
An Introduction to Quasisymmetric Schur Functions is aimed at researchers and graduate students in algebraic combinatorics. The goal of this monograph is twofold. The first goal is to provide a reference text for the basic theory of Hopf algebras, in particular the Hopf algebras of symmetric, quasisymmetric and noncommutative symmetric functions and connections between them. The second goal is to give a survey of results with respect to an exciting new basis of the Hopf algebra of quasisymmetric functions, whose combinatorics is analogous to that of the renowned Schur functions.
Hopf Algebras Tensor Categories and Related Topics
Author | : Nicolás Andruskiewitsch,Gongxiang Liu,Susan Montgomery,Yinhuo Zhang |
Publsiher | : American Mathematical Soc. |
Total Pages | : 359 |
Release | : 2021-07-06 |
Genre | : Education |
ISBN | : 9781470456245 |
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The articles highlight the latest advances and further research directions in a variety of subjects related to tensor categories and Hopf algebras. Primary topics discussed in the text include the classification of Hopf algebras, structures and actions of Hopf algebras, algebraic supergroups, representations of quantum groups, quasi-quantum groups, algebras in tensor categories, and the construction method of fusion categories.
Advances in Hopf Algebras
Author | : Jeffrey Bergen,Susan Montgomery |
Publsiher | : CRC Press |
Total Pages | : 341 |
Release | : 2023-08-18 |
Genre | : Mathematics |
ISBN | : 9781000944945 |
Download Advances in Hopf Algebras Book in PDF, Epub and Kindle
"This remarkable reference covers topics such as quantum groups, Hopf Galois theory, actions and coactions of Hopf algebras, smash and crossed products, and the structure of cosemisimple Hopf algebras. "