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(Ebook) Classical Hopf Algebras and Their Applications (Algebra and Applications, 29) by Pierre Cartier, Frédéric Patras ISBN 9783030778446, 3030778444

  • SKU: EBN-34794516
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Authors:Pierre Cartier, Frédéric Patras
Pages:283 pages.
Year:2021
Editon:1st ed. 2021
Publisher:Springer
Language:english
File Size:3.34 MB
Format:pdf
ISBNS:9783030778446, 3030778444
Categories: Ebooks

Product desciption

(Ebook) Classical Hopf Algebras and Their Applications (Algebra and Applications, 29) by Pierre Cartier, Frédéric Patras ISBN 9783030778446, 3030778444

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.

*Free conversion of into popular formats such as PDF, DOCX, DOC, AZW, EPUB, and MOBI after payment.

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