Classical Hopf Algebras and Their Applications Paperback / softback
by Pierre Cartier, Frederic Patras
Part of the Algebra and Applications series
Paperback / softback
Description
This book is dedicated to the structure and combinatorics of classical Hopf algebras.
Its main focus is on commutative and cocommutative Hopf algebras, such as algebras of representative functions on groups and enveloping algebras of Lie algebras, as explored in the works of Borel, Cartier, Hopf and others in the 1940s and 50s.The modern and systematic treatment uses the approach of natural operations, illuminating the structure of Hopf algebras by means of their endomorphisms and their combinatorics.
Emphasizing notions such as pseudo-coproducts, characteristic endomorphisms, descent algebras and Lie idempotents, the text also covers the important case of enveloping algebras of pre-Lie algebras.
A wide range of applications are surveyed, highlighting the main ideas and fundamental results. Suitable as a textbook for masters or doctoral level programs, this book will be of interest to algebraists and anyone working in one of the fields of application of Hopf algebras.
Information
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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:268 pages, 7 Illustrations, black and white; XV, 268 p. 7 illus.
- Publisher:Springer Nature Switzerland AG
- Publication Date:22/09/2022
- Category:
- ISBN:9783030778477
Other Formats
- Hardback from £109.99
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:268 pages, 7 Illustrations, black and white; XV, 268 p. 7 illus.
- Publisher:Springer Nature Switzerland AG
- Publication Date:22/09/2022
- Category:
- ISBN:9783030778477
