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Name: Classical Hopf Algebras and Their Applications. 1st ed. 2021.
Price: 34745 JPY
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Author: Cartier, Pierre / Patras, Frederic
ISBN: 978-3-030-77847-7

Classical Hopf Algebras and Their Applications. 1st ed. 2021.

・ISBN 978-3-030-77847-7 paper EUR 129.99

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著者・編者	Cartier, Pierre / Patras, Frederic,
シリーズ	Algebra and Applications
出版社	(Springer Nature Switzerland AG, SZ)
出版年月	2022
ページ数	268 pp.
言語	ENG
ニュース番号	＜M25-6977＞

解説

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.