An error was encountered while trying to add the item to the cart. Please try again.
Copy To Clipboard
Successfully Copied!
Diagrammatic Algebra

J. Scott Carter University of South Alabama, Mobile, AL
Seiichi Kamada Osaka University, Osaka, Japan
Available Formats:
Softcover ISBN: 978-1-4704-6671-8
Product Code: SURV/264
List Price: $125.00 MAA Member Price:$112.50
AMS Member Price: $100.00 Electronic ISBN: 978-1-4704-6815-6 Product Code: SURV/264.E List Price:$125.00
MAA Member Price: $112.50 AMS Member Price:$100.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $187.50 MAA Member Price:$168.75
AMS Member Price: $150.00 Click above image for expanded view Diagrammatic Algebra J. Scott Carter University of South Alabama, Mobile, AL Seiichi Kamada Osaka University, Osaka, Japan Available Formats:  Softcover ISBN: 978-1-4704-6671-8 Product Code: SURV/264  List Price:$125.00 MAA Member Price: $112.50 AMS Member Price:$100.00
 Electronic ISBN: 978-1-4704-6815-6 Product Code: SURV/264.E
 List Price: $125.00 MAA Member Price:$112.50 AMS Member Price: $100.00 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$187.50 MAA Member Price: $168.75 AMS Member Price:$150.00
• Book Details

Mathematical Surveys and Monographs
Volume: 2642021; 365 pp
MSC: Primary 18; 55; 57;

This book is an introduction to techniques and results in diagrammatic algebra. It starts with abstract tensors and their categorifications, presents diagrammatic methods for studying Frobenius and Hopf algebras, and discusses their relations with topological quantum field theory and knot theory. The text is replete with figures, diagrams, and suggestive typography that allows the reader a glimpse into many higher dimensional processes. The penultimate chapter summarizes the previous material by demonstrating how to braid 3- and 4- dimensional manifolds into 5- and 6-dimensional spaces.

The book is accessible to post-qualifier graduate students, and will also be of interest to algebraists, topologists and algebraic topologists who would like to incorporate diagrammatic techniques into their research.

Graduate students and researchers interested in homological algebra, category theory, and diagrammatic calculus.

• Chapters
• Introduction
• Elements
• Planar trivalent diagrams
• The multi-category FA
• Triple arrows for FA
• Surfaces in 3-space
• Beyond surfaces
• Parentheses and so forth
• Knots in space
• Foams and surfaces in 4-space
• Higher dimensional braids
• Globular multi-categories

• Reviews

• With an engaging expository style along with effective use of visualization and typography that in many ways embodies the philosophical principles behind diagrammatic reasoning itself, this book offers an insightful exploration of some state-of-the-art perspectives on algebra from a diagrammatic viewpoint.

Timothy Clark, Loyola University Maryland
• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 2642021; 365 pp
MSC: Primary 18; 55; 57;

This book is an introduction to techniques and results in diagrammatic algebra. It starts with abstract tensors and their categorifications, presents diagrammatic methods for studying Frobenius and Hopf algebras, and discusses their relations with topological quantum field theory and knot theory. The text is replete with figures, diagrams, and suggestive typography that allows the reader a glimpse into many higher dimensional processes. The penultimate chapter summarizes the previous material by demonstrating how to braid 3- and 4- dimensional manifolds into 5- and 6-dimensional spaces.

The book is accessible to post-qualifier graduate students, and will also be of interest to algebraists, topologists and algebraic topologists who would like to incorporate diagrammatic techniques into their research.

Graduate students and researchers interested in homological algebra, category theory, and diagrammatic calculus.

• Chapters
• Introduction
• Elements
• Planar trivalent diagrams
• The multi-category FA
• Triple arrows for FA
• Surfaces in 3-space
• Beyond surfaces
• Parentheses and so forth
• Knots in space
• Foams and surfaces in 4-space
• Higher dimensional braids
• Globular multi-categories
• With an engaging expository style along with effective use of visualization and typography that in many ways embodies the philosophical principles behind diagrammatic reasoning itself, this book offers an insightful exploration of some state-of-the-art perspectives on algebra from a diagrammatic viewpoint.

Timothy Clark, Loyola University Maryland
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.