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Three Hopf algebras and their common simplicial and categorical background

Autor
Galvez, M.; Kaufmann, R.L.; Tonks, A.
Tipus d'activitat
Document cientificotècnic
Data
2016-07
Projecte finançador
Geometría y topología de variedades, algebra y aplicaciones
Repositori
http://hdl.handle.net/2117/102199 Obrir en finestra nova
URL
https://arxiv.org/abs/1607.00196 Obrir en finestra nova
Resum
We consider three a priori totally different setups for Hopf algebras from number theory, mathematical physics and algebraic topology. These are the Hopf algebras of Goncharov for multiple zeta values, that of Connes--Kreimer for renormalization, and a Hopf algebra constructed by Baues to study double loop spaces. We show that these examples can be successively unified by considering simplicial objects, cooperads with multiplication and Feynman categories at the ultimate level. These considerati...
Citació
Galvez, M., Kaufmann, R.L., Tonks, A. "Three Hopf algebras and their common simplicial and categorical background". 2016.
Paraules clau
Hopf algebras
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

Participants

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