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Classical Hopf Algebras And Their Applications Algebra And Applications 29 1st Ed 2021 Pierre Cartier

  • SKU: BELL-34794516
Classical Hopf Algebras And Their Applications Algebra And Applications 29 1st Ed 2021 Pierre Cartier
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Classical Hopf Algebras And Their Applications Algebra And Applications 29 1st Ed 2021 Pierre Cartier instant download after payment.

Publisher: Springer
File Extension: PDF
File size: 3.34 MB
Pages: 283
Author: Pierre Cartier, Frédéric Patras
ISBN: 9783030778446, 3030778444
Language: English
Year: 2021
Edition: 1st ed. 2021

Product desciption

Classical Hopf Algebras And Their Applications Algebra And Applications 29 1st Ed 2021 Pierre Cartier by Pierre Cartier, Frédéric Patras 9783030778446, 3030778444 instant download after payment.

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.

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