Marcelo Aguiar, Swapneel Mahajan

Bimonoids for Hyperplane Arrangements

• Gebundenes Buch

Produktbeschreibung

Suitable for graduate students and researchers in diverse areas of mathematics, this monograph offers a new perspective on the classical theory of connected Hopf algebras, and extends it to a new setting where a real hyperplane arrangement is a central feature.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 854
• Erscheinungstermin: 19. März 2020
• Englisch
• Abmessung: 240mm x 161mm x 50mm
• Gewicht: 1431g
• ISBN-13: 9781108495806
• ISBN-10: 110849580X
• Artikelnr.: 58024190

Autorenporträt

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

Inhaltsangabe

Introduction
Part I. Species and Operads: 1. Hyperplane arrangements
2. Species and bimonoids
3. Bimonads on species
4. Operads
Part II. Basic Theory of Bimonoids: 5. Primitive filtrations and decomposable filtrations
6. Universal constructions
7. Examples of bimonoids
8. Hadamard product
9. Exponential and logarithm
10. Characteristic operations
11. Modules over monoid algebras and bimonoids in species
12. Antipode
Part III. Structure Results for Bimonoids: 13. Loday-Ronco, Leray-Samelson, Borel-Hopf
14. Hoffman-Newman-Radford
15. Freeness under Hadamard products
16. Lie monoids
17. Poincaré-Birkhoff-Witt and Cartier-Milnor-Moore
Appendix A. Linear algebra
Appendix B. Higher monads
Appendix C. Internal hom
Appendix D. Semidirect products
References
Notation index
Author index
Subject index.