Geodesic
Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras.
Journal of Algebraic Combinatorics, Tome 34 (2011) no. 3, pp. 451-506.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We develop a theory of multigraded (i.e., $\Bbb N ^{ l }$-graded) combinatorial Hopf algebras modeled on the theory of graded combinatorial Hopf algebras developed by Aguiar et al. (Compos. Math. 142:1-30, 2006). In particular we introduce the notion of canonical k-odd and k-even subalgebras associated with any multigraded combinatorial Hopf algebra, extending simultaneously the work of Aguiar et al. and Ehrenborg. Among our results are specific categorical results for higher level quasisymmetric functions, several basis change formulas, and a generalization of the descents-to-peaks map.
Keywords: keywords combinatorial Hopf algebra, multigraded Hopf algebra, quasisymmetric function, symmetric function, noncommutative symmetric function, Eulerian poset 
@article{JAC_2011__34_3_a2,
     author = {Hsiao, Samuel K. and Karaali, Gizem},
     title = {Multigraded combinatorial {Hopf} algebras and refinements of odd and even subalgebras.},
     journal = {Journal of Algebraic Combinatorics},
     pages = {451--506},
     publisher = {mathdoc},
     volume = {34},
     number = {3},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2011__34_3_a2/}
}
TY  - JOUR
AU  - Hsiao, Samuel K.
AU  - Karaali, Gizem
TI  - Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras.
JO  - Journal of Algebraic Combinatorics
PY  - 2011
SP  - 451
EP  - 506
VL  - 34
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JAC_2011__34_3_a2/
LA  - en
ID  - JAC_2011__34_3_a2
ER  - 
%0 Journal Article
%A Hsiao, Samuel K.
%A Karaali, Gizem
%T Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras.
%J Journal of Algebraic Combinatorics
%D 2011
%P 451-506
%V 34
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JAC_2011__34_3_a2/
%G en
%F JAC_2011__34_3_a2
Hsiao, Samuel K.; Karaali, Gizem. Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras.. Journal of Algebraic Combinatorics, Tome 34 (2011) no. 3, pp. 451-506. http://geodesic.mathdoc.fr/item/JAC_2011__34_3_a2/