Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Commutative and non-commutative bialgebras of quasi-posets and
  applications to Ehrhart polynomials   To any poset or quasi-poset is attached a lattice polytope, whose Ehrhart
polynomial we study from a Hopf-algebraic point of view. We use for this two
interacting bialgebras on quasi-posets. The Ehrhart polynomial defines a Hopf
algebra morphism taking its values in Q[X], we deduce from the interacting
bialgebras an algebraic proof of the duality principle, a generalization and a
new proof of a result on B-series due to Whright and Zhao, using a monoid of
characters on quasi-posets, and a generalization of Faulhaber's formula. We
also give non-commutative versions of these results: polynomials are replaced
by packed words. We obtain in particular a non-commutative duality principle.

32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph