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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...
Hilbert series of PI relatively free G-graded algebras are rational functions
free G-graded algebras rational functions
2010/11/19
Let G be a finite group, (g_{1},...,g_{r}) an (unordered) r-tuple of G^{(r)} and x_{i,g_i}'s variables that correspond to the g_i's, i=1,...,r. Let F be the corresponding free...
Convex Multivariate Approximation by Algebras of Continuous Functions
Convex Multivariate Approximation Algebras Continuous Functions
2010/11/22
We obtain an analog of Shvedov theorem for convex multivariate approximation by algebras of continuous functions.
Factorization and dilation problems for completely positive maps on von Neumann algebras
Factorization dilation problems for completely positive maps von Neumann algebras
2010/11/29
We study factorization and dilation properties of Markov maps between von Neumann algebras
equipped with normal faithful states, i.e., completely positive unital maps which preserve the
given states...