Séminaire lotharingien de combinatoire, Tome 80 (2019-2021)
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Emmanuel Briand; Peter R. W. McNamara; Rosa Orellana; Mercedes Rosas. Commutation and Normal Ordering for Operators on Symmetric Functions. Séminaire lotharingien de combinatoire, Tome 80 (2019-2021). http://geodesic.mathdoc.fr/item/SLC_2019-2021_80_a3/
@article{SLC_2019-2021_80_a3,
author = {Emmanuel Briand and Peter R. W. McNamara and Rosa Orellana and Mercedes Rosas},
title = {Commutation and {Normal} {Ordering} for {Operators} on {Symmetric} {Functions}},
journal = {S\'eminaire lotharingien de combinatoire},
year = {2019-2021},
volume = {80},
url = {http://geodesic.mathdoc.fr/item/SLC_2019-2021_80_a3/}
}
TY - JOUR
AU - Emmanuel Briand
AU - Peter R. W. McNamara
AU - Rosa Orellana
AU - Mercedes Rosas
TI - Commutation and Normal Ordering for Operators on Symmetric Functions
JO - Séminaire lotharingien de combinatoire
PY - 2019-2021
VL - 80
UR - http://geodesic.mathdoc.fr/item/SLC_2019-2021_80_a3/
ID - SLC_2019-2021_80_a3
ER -
%0 Journal Article
%A Emmanuel Briand
%A Peter R. W. McNamara
%A Rosa Orellana
%A Mercedes Rosas
%T Commutation and Normal Ordering for Operators on Symmetric Functions
%J Séminaire lotharingien de combinatoire
%D 2019-2021
%V 80
%U http://geodesic.mathdoc.fr/item/SLC_2019-2021_80_a3/
%F SLC_2019-2021_80_a3
We study the commutation relations and normal ordering between families of operators on symmetric functions. These operators can be naturally defined by the operations of multiplication, Kronecker product, and their adjoints. As applications, we give a new proof of the skew Littlewood-Richardson rule and prove an identity about the Kronecker product with a skew Schur function.
