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Monoidal Functors, Species and Hopf Algebras
bilax monoidal functor Fock functor Hopf algebra
2015/8/14
The fact that α is a morphism of lax monoidal functors is the same as (6.4) and the
coassociativity of I in (6.8). The fact that λ and ρ are morphisms of lax functors
is the same as (6.6) and the c...
Gauge deformations for Hopf algebras with the dual Chevalley property
Hopf algebra dual Chevalley property cocycle twist dual quasi-Hopf algebra
2011/2/25
Let A be a Hopf algebra over a field K of characteristic zero such that its coradical H is a finite dimensional sub-Hopf algebra. Our main theorem shows that there is a gauge transformation on A suc...
Polytopes, Hopf algebras and Quasi-symmetric functions
Polytopes Hopf algebras Quasi-symmetric functions
2010/11/11
In this paper we use the technique of Hopf algebras and quasi-symmetric functions to study the combinatorial polytopes. Consider the free abelian group $\mathcal{P}$ generated by all combinatorial po...