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Classical Hopf Algebras and Their Applications

Af: Frederic Patras, Pierre Cartier Engelsk Paperback

Classical Hopf Algebras and Their Applications

Af: Frederic Patras, Pierre Cartier Engelsk Paperback
Tjek vores konkurrenters priser
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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20 kr
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God 4 anmeldelser på
Tjek vores konkurrenters priser
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.

Produktdetaljer
Sprog: Engelsk
Sider: 268
ISBN-13: 9783030778477
Indbinding: Paperback
Udgave:
ISBN-10: 3030778479
Udg. Dato: 22 sep 2022
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 22 sep 2022
Forfatter(e) Frederic Patras, Pierre Cartier


Kategori Algebraisk topologi


ISBN-13 9783030778477


Sprog Engelsk


Indbinding Paperback


Sider 268


Udgave


Længde 0mm


Bredde 155mm


Højde 235mm


Udg. Dato 22 sep 2022


Oplagsdato 22 sep 2022


Forlag Springer Nature Switzerland AG

Kategori sammenhænge