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Algebras, Rings and Modules: Lie Algebras and Hopf Algebras
About this Title
Michiel Hazewinkel, Nadiya Gubareni, Technical University of Czȩstochowa, Czȩstochowa, Poland and V. V. Kirichenko, Kiev National Taras Shevchenko University, Kiev, Ukraine
Publication: Mathematical Surveys and Monographs
Publication Year:
2010; Volume 168
ISBNs: 978-0-8218-5262-0 (print); 978-1-4704-1395-8 (online)
DOI: https://doi.org/10.1090/surv/168
MathSciNet review: MR2724822
MSC: Primary 16T05; Secondary 16-02, 17-02
Table of Contents
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Front/Back Matter
Chapters
- 1. Lie algebras and Dynkin diagrams
- 2. Coalgebras: Motivation, definitions, and examples
- 3. Bialgebras and Hopf algebras. Motivation, definitions, and examples
- 4. The Hopf algebra of symmetric functions
- 5. The representations of the symmetric groups from the Hopf algebra point of view
- 6. The Hopf algebra of noncommutative symmetric functions and the Hopf algebra of quasisymmetric functions
- 7. The Hopf algebra of permutations
- 8. Hopf algebras: Applications in and interrelations with other parts of mathematics and physics