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Monoidal Functors, Species and Hopf Algebras
About this Title
Marcelo Aguiar, Texas A&M University, College Station, TX and Swapneel Mahajan, Indian Institute of Technology, Mumbai, India
Publication: CRM Monograph Series
Publication Year:
2010; Volume 29
ISBNs: 978-0-8218-4776-3 (print); 978-1-4704-1768-0 (online)
DOI: https://doi.org/10.1090/crmm/029
MathSciNet review: MR2724388
MSC: Primary 18D10; Secondary 05A30, 16T30
Table of Contents
Front/Back Matter
Chapters
- Monoidal categories
- Monoidal categories
- Graded vector spaces
- Monoidal functors
- Operad Lax monoidal functors
- Bilax monoidal functors in homological algebra
- 2-monoidal categories
- Higher monoidal categories
- Hopf monoids in species
- Monoidal structures on species
- Deformations of Hopf monoids
- The Coxeter complex of type $A$
- Universal constructions of Hopf monoids
- Hopf monoids from geometry
- Hopf monoids from combinatorics
- Hopf monoids in colored species
- Fock functors
- From species to graded vector spaces
- Deformations of Fock functors
- From Hopf monoids to Hopf algebras: Examples
- Adjoints of the Fock functors
- Decorated Fock functors and creation-annihilation
- Colored Fock functors
- Appendices
- Categorical preliminaries
- Operads
- Pseudomonoids and the looping principle
- Monoids and the simplicial category