New Directions in Hopf Algebras

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Release : 2002-05-06
Genre : Mathematics
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Book Rating : 123/5 ( reviews)

New Directions in Hopf Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Directions in Hopf Algebras write by Susan Montgomery. This book was released on 2002-05-06. New Directions in Hopf Algebras available in PDF, EPUB and Kindle. Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras and other areas of physics and mathematics. They have been intensely studied in the past; in particular, the solution of a number of conjectures of Kaplansky from the 1970s has led to progress on the classification of semisimple Hopf algebras and on the structure of pointed Hopf algebras. Among the topics covered are results toward the classification of finite-dimensional Hopf algebras (semisimple and non-semisimple), as well as what is known about the extension theory of Hopf algebras. Some papers consider Hopf versions of classical topics, such as the Brauer group, while others are closer to work in quantum groups. The book also explores the connections and applications of Hopf algebras to other fields.

Recent Advances in Noncommutative Algebra and Geometry

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Release : 2024-05-30
Genre : Mathematics
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Book Rating : 392/5 ( reviews)

Recent Advances in Noncommutative Algebra and Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Recent Advances in Noncommutative Algebra and Geometry write by K. A. Brown. This book was released on 2024-05-30. Recent Advances in Noncommutative Algebra and Geometry available in PDF, EPUB and Kindle. This volume contains the proceedings of the conference Recent Advances and New Directions in the Interplay of Noncommutative Algebra and Geometry, held from June 20–24, 2022, at the University of Washington, Seattle, in honor of S. Paul Smith's 65th birthday. The articles reflect the wide interests of Smith and provide researchers and graduate students with an indispensable overview of topics of current interest. Specific fields covered include: noncommutative algebraic geometry, representation theory, Hopf algebras and quantum groups, the elliptic algebras of Feigin and Odesskii, Calabi-Yau algebras, Artin-Schelter regular algebras, deformation theory, and Lie theory. In addition to original research contributions the volume includes an introductory essay reviewing Smith's research contributions in these fields, and several survey articles.

Hopf Algebras

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Release : 1980
Genre : Hopf algebras
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Hopf Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hopf Algebras write by Eiichi Abe. This book was released on 1980. Hopf Algebras available in PDF, EPUB and Kindle.

Hopf Algebras

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Release : 1969
Genre : Hopf algebras
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Hopf Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hopf Algebras write by Moss E. Sweedler. This book was released on 1969. Hopf Algebras available in PDF, EPUB and Kindle.

Hopf Algebras

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Release : 2004-01-28
Genre : Mathematics
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Book Rating : 669/5 ( reviews)

Hopf Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hopf Algebras write by Jeffrey Bergen. This book was released on 2004-01-28. Hopf Algebras available in PDF, EPUB and Kindle. 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 Morita invariant. It uses the newly introduced theory of bi-Frobenius algebras to investigate a notion of group-like algebras and summarizes results on the classification of Hopf algebras of dimension pq. It also explores pre-Lie, dendriform, and Nichols algebras and discusses support cones for infinitesimal group schemes.