Classical Hopf Algebras and Their Applications
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...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2021, 2021
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| Edition: | 1st ed. 2021 |
| Series: | Algebra and Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction
- Part I General Theory
- 2 Coalgebras, Duality
- 3. Hopf Algebras and Groups
- 4. Structure Theorems
- 5. Graded Hopf Algebras and the Descent Gebra
- 6. PreLie Algebras
- Part II Applications
- 7. Group Theory
- 8. Algebraic Topology
- 9. Combinatorial Hopf Algebras
- 10. Renormalization