Geodesic
Quasisymmetric Power Sums
Séminaire lotharingien de combinatoire, 80B (2018)

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In the 1995 paper entitled "Noncommutative symmetric functions," Gelfand et al. defined several noncommutative symmetric function analogues for well-known symmetric function bases, including two distinct types of power sum bases. This paper explores the combinatorial properties of their duals, two distinct quasisymmetric power sum bases. In particular, we show that they refine the classical symmetric power sum basis, and give transition matrices to other well-understood bases, as well as explicit formulas for products of quasisymmetric power sums. 

@article{SLC_2018_80B_a24,
     author = {Cristina Ballantine and Zajj Daugherty and Angela Hicks and Sarah Mason and Elizabeth Niese},
     title = {Quasisymmetric {Power} {Sums}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {80B},
     year = {2018},
     url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a24/}
}
TY  - JOUR
AU  - Cristina Ballantine
AU  - Zajj Daugherty
AU  - Angela Hicks
AU  - Sarah Mason
AU  - Elizabeth Niese
TI  - Quasisymmetric Power Sums
JO  - Séminaire lotharingien de combinatoire
PY  - 2018
VL  - 80B
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2018_80B_a24/
ID  - SLC_2018_80B_a24
ER  - 
%0 Journal Article
%A Cristina Ballantine
%A Zajj Daugherty
%A Angela Hicks
%A Sarah Mason
%A Elizabeth Niese
%T Quasisymmetric Power Sums
%J Séminaire lotharingien de combinatoire
%D 2018
%V 80B
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2018_80B_a24/
%F SLC_2018_80B_a24
Cristina Ballantine; Zajj Daugherty; Angela Hicks; Sarah Mason; Elizabeth Niese. Quasisymmetric Power Sums. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a24/