Coxeter Bialgebras

Introduction; 1. Coxeter groups and reflection arrangements; Part I. Coxeter Species: 2. Coxeter species and Coxeter bimonoids; 3. Basic theory of Coxeter bimonoids; 4. Examples of Coxeter bimonoids; 5. Coxeter operads; 6. Coxeter Lie monoids; 7. Structure theory of Coxeter bimonoids; Part II. Coxeter Spaces: 8. Coxeter spaces and Coxeter bialgebras; 9. Basic theory of Coxeter bialgebras; 10. Examples of Coxeter bialgebras; 11. Coxeter operad algebras; 12. Coxeter Lie algebras; 13. Structure theory of Coxeter bialgebras; Part III. Fock Functors: 14. Fock functors; 15. Coxeter bimonoids and Coxeter bialgebras; 16. Adjoints of Fock functors; 17. Structure theory under Fock functors; 18. Examples of Fock spaces; Appendix A. Category theory; References; List of Notations; List of Tables; List of Figures; List of Summaries; Author Index; Subject Index.

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• Álgebra
• Teoria combinatória e dos grafos