Marcelo Aguiar, Swapneel Mahajan

Coxeter Bialgebras

• Gebundenes Buch

Produktbeschreibung

This monograph is aimed at graduate students and researchers in diverse areas of mathematics. It offers a new geometric perspective on the classical theory of connected graded Hopf algebras by extending it to the setting of real reflection arrangements. Discrete geometry, algebra, and combinatorics meet fruitfully at these crossroads.

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Produktdetails

• Encyclopedia of Mathematics and its Applications
• Verlag: Cambridge University Press
• Seitenzahl: 894
• Erscheinungstermin: 17. November 2022
• Englisch
• Abmessung: 164mm x 239mm x 54mm
• Gewicht: 1592g
• ISBN-13: 9781009243773
• ISBN-10: 1009243772
• Artikelnr.: 65690435

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.