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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Classical Hopf Algebras and Their Applications

Classical Hopf Algebras and Their Applications

Patras, Frédéric
Cartier, Pierre

Hardcover

Series: Algebra and Applications, Book 29

AlgebraGeneral Mathematics

ISBN10: 3030778444
ISBN13: 9783030778446
Publisher: Springer
Published: Sep 21 2021
Pages: 268
Weight: 1.27
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English
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.

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