Stability of the Heisenberg Product on Symmetric Functions
Séminaire lotharingien de combinatoire, 80B (2018)
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The Heisenberg product is an associative product defined on symmetric functions which interpolates between the usual product and the Kronecker product. In 1938, Murnaghan discovered that the Kronecker product of two Schur functions stabilizes. We prove an analogous result for the Heisenberg product of Schur functions. We also show a rectangular symmetry for the Schur structural constants of this product.
@article{SLC_2018_80B_a41,
author = {Li Ying},
title = {Stability of the {Heisenberg} {Product} on {Symmetric} {Functions}},
journal = {S\'eminaire lotharingien de combinatoire},
publisher = {mathdoc},
volume = {80B},
year = {2018},
url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a41/}
}
Li Ying. Stability of the Heisenberg Product on Symmetric Functions. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a41/