Hopf Algebras and Root Systems
Istvan Heckenberger
Reading Time
at 250 WPM9h 42m
The average reader, reading at a speed of 250 WPM, would take 9h 42m to read Hopf Algebras and Root Systems.
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20
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582
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Hopf Algebras and Root Systems
by Istvan Heckenberger, Hans-Jurgen Schneider
Published
2020
Publisher
American Mathematical Society
Pages
582
ISBN-13
9781470452322
Description
This book is an introduction to Hopf algebras in braided monoidal categories with applications to Hopf algebras in the usual sense. The main goal of the book is to present from scratch and with complete proofs the theory of Nichols algebras (or quantum symmetric algebras) and the surprising relationship between Nichols algebras and generalized root systems. In general, Nichols algebras are not classified by Cartan graphs and their root systems. However, extending partial results in the literature, the authors were able to associate a Cartan graph to a large class of Nichols algebras. This allows them to determine the structure of right coideal subalgebras of Nichols systems which generalize Nichols algebras. As applications of these results, the book contains a classification of right coideal subalgebras of quantum groups and of the small quantum groups, and a proof of the existence of PBW-bases that does not involve case by case considerations. The authors also include short chapter summaries at the beginning of each chapter and historical notes at the end of each chapter. The theory of Cartan graphs, Weyl groupoids, and generalized root systems appears here for the first time in a book form. Hence, the book serves as an introduction to the modern classification theory of pointed Hopf algebras--
Subjects
Heinemann Mathematics
Elements
Philosophiae naturalis principia mathematica
Tractatus logico-philosophicus
De la terre à la lune
Principles of Anatomy and Physiology
Frequently Asked Questions
How many pages are in Hopf Algebras and Root Systems?
This edition of Hopf Algebras and Root Systems has approximately 582 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read Hopf Algebras and Root Systems?
For most readers, Hopf Algebras and Root Systems typically takes between 12h 8m and 8h 5m to complete. This is based on the book's length of approximately 145,500 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 9h 42m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 20 days • Estimated word count: 145,500 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of Hopf Algebras and Root Systems?
The estimated word count for Hopf Algebras and Root Systems is approximately 145,500 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of Hopf Algebras and Root Systems?
Hopf Algebras and Root Systems was written by Istvan Heckenberger, Hans-Jurgen Schneider.
When was Hopf Algebras and Root Systems published?
The publication date for this specific edition is 2020. The original work may have been published on a different date.