Classical Hopf algebras and their applications / Pierre Cartier, Frédéric Patras.
Cartier, P. (Pierre), author.; Patras, Frédéric, author.
2021
QA613.8 .C37 2021
Available Online

Linked e-resources

Linked Resource Online Access
Concurrent users Unlimited
Authorized users Authorized users
Document Delivery Supplied Can lend chapters, not whole ebooks

Details

Title Classical Hopf algebras and their applications / Pierre Cartier, Frédéric Patras.
Author Cartier, P. (Pierre), author.
ISBN 9783030778453 (electronic bk.)
3030778452 (electronic bk.)
9783030778446
3030778444
DOI https://doi.org/10.1007/978-3-030-77845-3
Published Cham : Springer, [2021]
Copyright ©2021
Language English
Description 1 online resource : illustrations
Item Number 10.1007/978-3-030-77845-3 doi
Call Number QA613.8 .C37 2021
Dewey Decimal Classification 512/.55
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed October 5, 2021).
Added Author Patras, Frédéric, author.
Series Algebras and applications ; v. 29. 2192-2950
Available in Other Form Classical Hopf algebras and their applications.
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
1. Introduction
Part I General Theory
2 Coalgebras, Duality
3. Hopf Algebras and Groups
4. Structure Theorems
5. Graded Hopf Algebras and the Descent Gebra
6. PreLie Algebras
Part II Applications
7. Group Theory
8. Algebraic Topology
9. Combinatorial Hopf Algebras
10. Renormalization.

Browse Subjects

Show more subjects...

Statistics

from
to
Export