Marcelo Aguiar, Swapneel Mahajan

Coxeter Bialgebras (eBook, PDF)

• Format: PDF

Produktbeschreibung

This text develops a new theory extending the classical theory of connected graded Hopf algebras to reflection arrangements.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 17. November 2022
• Englisch
• ISBN-13: 9781009243735
• Artikelnr.: 70911674

Autorenporträt

Marcelo Aguiar is Professor in the Department of Mathematics at Cornell University, Ithaca.

Inhaltsangabe

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.