Classical Hopf Algebras and Their Applications - Couverture rigide

Livre 28 sur 29: Algebra and Applications

Cartier, Pierre; Patras, Frédéric

 
9783030778446: Classical Hopf Algebras and Their Applications
Couverture rigide
ISBN 10 : 3030778444 ISBN 13 : 9783030778446
Editeur : Springer Nature Switzerland AG, 2021

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Pierre Cartier is a member of the IHES, alumnus of the Ecole Normale Supérieure and former research director at CNRS. A long associate of the Bourbaki group, he is known for his wide range of interests and contributions, among others in algebraic geometry, representation theory and mathematical physics. He is one of the founders of the theory of coalgebras and Hopf algebras.

Frédéric Patras, alumnus of the Ecole Normale Supérieure and research director at CNRS, is an expert in the theory of Hopf algebras and their applications in analysis, combinatorics, Lie theory, probability, theoretical chemistry and physics. He has published and edited over a hundred works on various subjects.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer Nature Switzerland AG
Date d'édition
2021
Langue
anglais
ISBN 10 
3030778444
ISBN 13 
9783030778446
Reliure
Relié
Nombre de pages
283
Coordonnées du fabricant
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783030778477: Classical Hopf Algebras and Their Applications

Edition présentée

ISBN 10 :  3030778479 ISBN 13 :  9783030778477
Editeur : Springer, 2022
Couverture souple