Non-Fiction Books:

Hopf Algebras and Their Generalizations from a Category Theoretical Point of View

Sorry, this product is not currently available to order

Here are some other products you might consider...

Hopf Algebras and Their Generalizations from a Category Theoretical Point of View

Format

Paperback / softback

Customer rating

Click to share your rating 0 ratings (0.0/5.0 average) Thanks for your vote!

Share this product

Hopf Algebras and Their Generalizations from a Category Theoretical Point of View by Gabriella Boehm
Unavailable
Sorry, this product is not currently available to order

Description

These lecture notes provide a self-contained introduction to a wide range of generalizations of Hopf algebras. Multiplication of their modules is described by replacing the category of vector spaces with more general monoidal categories, thereby extending the range of applications. Since Sweedler's work in the 1960s, Hopf algebras have earned a noble place in the garden of mathematical structures. Their use is well accepted in fundamental areas such as algebraic geometry, representation theory, algebraic topology, and combinatorics. Now, similar to having moved from groups to groupoids, it is becoming clear that generalizations of Hopf algebras must also be considered. This book offers a unified description of Hopf algebras and their generalizations from a category theoretical point of view. The author applies the theory of liftings to Eilenberg-Moore categories to translate the axioms of each considered variant of a bialgebra (or Hopf algebra) to a bimonad (or Hopf monad) structure on a suitable functor. Covered structures include bialgebroids over arbitrary algebras, in particular weak bialgebras, and bimonoids in duoidal categories, such as bialgebras over commutative rings, semi-Hopf group algebras, small categories, and categories enriched in coalgebras. Graduate students and researchers in algebra and category theory will find this book particularly useful. Including a wide range of illustrative examples, numerous exercises, and completely worked solutions, it is suitable for self-study.

Author Biography

Gabriella Boehm received her master's degree in 1993, and a PhD in 1999 from the Eoetvoes University in Budapest. She has a broad expertise in generalizations of Hopf algebra, and has made significant contributions to the theory of Hopf algebroids as one of the inventors of weak Hopf algebra. The key feature of her work is the use of category theoretical methods in treating algebraic questions.
Release date Australia
October 7th, 2018
Country of Publication
Switzerland
Edition
1st ed. 2018
Illustrations
239 Illustrations, black and white; XI, 164 p. 239 illus.
Imprint
Springer International Publishing AG
Pages
164
ISBN-13
9783319981369
Product ID
28246912

Customer reviews

Nobody has reviewed this product yet. You could be the first!

Write a Review

Marketplace listings

There are no Marketplace listings available for this product currently.
Already own it? Create a free listing and pay just 9% commission when it sells!

Sell Yours Here

Help & options

  • If you think we've made a mistake or omitted details, please send us your feedback. Send Feedback
  • If you have a question or problem with this product, visit our Help section. Get Help
Filed under...