Advances in Hopf Algebras PDF Download
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Author: Jeffrey Bergen
Publisher: CRC Press
ISBN: 1000944948
Category : Mathematics
Languages : en
Pages : 341
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Book Description
"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. "
Author: Jeffrey Bergen
Publisher: CRC Press
ISBN: 1000944948
Category : Mathematics
Languages : en
Pages : 341
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Book Description
"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. "
Author: Sorin Dascalescu
Publisher: CRC Press
ISBN: 9780824704810
Category : Mathematics
Languages : en
Pages : 428
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Book Description
This study covers comodules, rational modules and bicomodules; cosemisimple, semiperfect and co-Frobenius algebras; bialgebras and Hopf algebras; actions and coactions of Hopf algebras on algebras; finite dimensional Hopf algebras, with the Nicholas-Zoeller and Taft-Wilson theorems and character theory; and more.
Author: Michiel Hazewinkel
Publisher: American Mathematical Soc.
ISBN: 0821852620
Category : Mathematics
Languages : en
Pages : 425
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Book Description
Presenting an introduction to the theory of Hopf algebras, the authors also discuss some important aspects of the theory of Lie algebras. This book includes a chapters on the Hopf algebra of symmetric functions, the Hopf algebra of representations of the symmetric groups, the Hopf algebras of the nonsymmetric and quasisymmetric functions, and the Hopf algebra of permutations.
Author:
Publisher: Elsevier
ISBN: 0080532977
Category : Mathematics
Languages : en
Pages : 1185
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Book Description
Handbook of Algebra
Author:
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 382
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Book Description
Author: Susan Montgomery
Publisher: American Mathematical Soc.
ISBN: 0821807382
Category : Mathematics
Languages : en
Pages : 258
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Book Description
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.
Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 708
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Book Description
Author: Andrzej SkowroĊski
Publisher: European Mathematical Society
ISBN: 9783037191026
Category : Mathematics
Languages : en
Pages : 672
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Book Description
This is the first of two volumes which will provide a comprehensive introduction to the modern representation theory of Frobenius algebras. The first part of the book serves as a general introduction to basic results and techniques of the modern representation theory of finite dimensional associative algebras over fields, including the Morita theory of equivalences and dualities and the Auslander-Reiten theory of irreducible morphisms and almost split sequences. The second part is devoted to fundamental classical and recent results concerning the Frobenius algebras and their module categories. Moreover, the prominent classes of Frobenius algebras, the Hecke algebras of Coxeter groups, and the finite dimensional Hopf algebras over fields are exhibited. This volume is self contained and the only prerequisite is a basic knowledge of linear algebra. It includes complete proofs of all results presented and provides a rich supply of examples and exercises. The text is primarily addressed to graduate students starting research in the representation theory of algebras as well as mathematicians working in other fields.
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 740
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Book Description
Author: Stefaan Caenepeel
Publisher: CRC Press
ISBN: 0429530072
Category : Mathematics
Languages : en
Pages : 348
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Book Description
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
