Hopf Algebras And Congruence Subgroups
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Hopf Algebras and Congruence Subgroups
Author | : Yorck Sommerhäuser,Yongchang Zhu |
Publsiher | : American Mathematical Soc. |
Total Pages | : 134 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 9780821869130 |
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The authors prove that the kernel of the action of the modular group on the center of a semisimple factorizable Hopf algebra is a congruence subgroup whenever this action is linear. If the action is only projective, they show that the projective kernel is a congruence subgroup. To do this, they introduce a class of generalized Frobenius-Schur indicators and endow it with an action of the modular group that is compatible with the original one.
Collected Papers of John Milnor
Author | : John Willard Milnor |
Publsiher | : American Mathematical Soc. |
Total Pages | : 442 |
Release | : 1994 |
Genre | : Algebra |
ISBN | : 9780821848760 |
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Hopf Algebras and Tensor Categories
Author | : Nicolás Andruskiewitsch,Juan Cuadra,Blas Torrecillas |
Publsiher | : American Mathematical Soc. |
Total Pages | : 347 |
Release | : 2013-02-21 |
Genre | : Mathematics |
ISBN | : 9780821875643 |
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This volume contains the proceedings of the Conference on Hopf Algebras and Tensor Categories, held July 4-8, 2011, at the University of Almeria, Almeria, Spain. The articles in this volume cover a wide variety of topics related to the theory of Hopf algebras and its connections to other areas of mathematics. In particular, this volume contains a survey covering aspects of the classification of fusion categories using Morita equivalence methods, a long comprehensive introduction to Hopf algebras in the category of species, and a summary of the status to date of the classification of Hopf algebras of dimensions up to 100. Among other topics discussed in this volume are a study of normalized class sum and generalized character table for semisimple Hopf algebras, a contribution to the classification program of finite dimensional pointed Hopf algebras, relations to the conjecture of De Concini, Kac, and Procesi on representations of quantum groups at roots of unity, a categorical approach to the Drinfeld double of a braided Hopf algebra via Hopf monads, an overview of Hom-Hopf algebras, and several discussions on the crossed product construction in different settings.
Advances in Hopf Algebras
Author | : Jeffrey Bergen,Susan Montgomery |
Publsiher | : CRC Press |
Total Pages | : 344 |
Release | : 2023-08-18 |
Genre | : Mathematics |
ISBN | : 9781000938890 |
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"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. "
Hopf Algebras
Author | : Jeffrey Bergen,Stefan Catoiu,William Chin |
Publsiher | : CRC Press |
Total Pages | : 200 |
Release | : 2004-01-28 |
Genre | : Mathematics |
ISBN | : 9781482293159 |
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This volume publishes key proceedings from the recent International Conference on Hopf Algebras held at DePaul University, Chicago, Illinois. With contributions from leading researchers in the field, this collection deals with current topics ranging from categories of infinitesimal Hopf modules and bimodules to the construction of a Hopf algebraic
Hopf Algebras Quantum Groups and Yang Baxter Equations
Author | : Florin Felix Nichita |
Publsiher | : MDPI |
Total Pages | : 239 |
Release | : 2019-01-31 |
Genre | : Mathematics |
ISBN | : 9783038973249 |
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This book is a printed edition of the Special Issue "Hopf Algebras, Quantum Groups and Yang-Baxter Equations" that was published in Axioms
Hopf Algebras and Quantum Groups
Author | : Stefaan Caenepeel,Freddy Van Oystaeyen |
Publsiher | : CRC Press |
Total Pages | : 332 |
Release | : 2019-05-07 |
Genre | : Mathematics |
ISBN | : 9780429529986 |
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 g
Hopf Algebras and Their Actions on Rings
Author | : Susan Montgomery |
Publsiher | : American Mathematical Soc. |
Total Pages | : 258 |
Release | : 1993-10-28 |
Genre | : Mathematics |
ISBN | : 9780821807385 |
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The last ten years have seen a number of significant advances in Hopf algebras. The best known is the introduction of quantum groups, which are Hopf algebras that arose in mathematical physics and now have connections to many areas of mathematics. In addition, several conjectures of Kaplansky have been solved, the most striking of which is a kind of Lagrange's theorem for Hopf algebras. Work on actions of Hopf algebras has unified earlier results on group actions, actions of Lie algebras, and graded algebras. This book brings together many of these recent developments from the viewpoint of the algebraic structure of Hopf algebras and their actions and coactions. Quantum groups are treated as an important example, rather than as an end in themselves. The two introductory chapters review definitions and basic facts; otherwise, most of the material has not previously appeared in book form. Providing an accessible introduction to Hopf algebras, this book would make an excellent graduate textbook for a course in Hopf algebras or an introduction to quantum groups.