Geodesic
Commutation and Normal Ordering for Operators on Symmetric Functions
Séminaire lotharingien de combinatoire, Tome 80 (2019-2021)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

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. 

@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},
     publisher = {mathdoc},
     volume = {80},
     year = {2019-2021},
     url = {http://geodesic.mathdoc.fr/item/SLC_2019-2021_80_a3/}
}
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AU  - Rosa Orellana
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%F SLC_2019-2021_80_a3
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/