Geodesic
Multiline Queues with Spectral Parameters
Séminaire lotharingien de combinatoire, 80B (2018) Cet article a éte moissonné depuis la source Séminaire Lotharingien de Combinatoire website

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Using the description of multiline queues as functions on words, we introduce the notion of a spectral weight of a word by defining a new weighting on multiline queues. We show that the spectral weight of a word is invariant under a natural action of the symmetric group, giving a proof of the commutativity conjecture of Arita, Ayyer, Mallick, and Prolhac. We give a determinant formula for the spectral weight of a word, which gives a proof of a conjecture of the first author and Linusson. 

@article{SLC_2018_80B_a45,
     author = {Erik Aas and Darij Grinberg and Travis Scrimshaw},
     title = {Multiline {Queues} with {Spectral} {Parameters}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2018},
     volume = {80B},
     url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a45/}
}
TY  - JOUR
AU  - Erik Aas
AU  - Darij Grinberg
AU  - Travis Scrimshaw
TI  - Multiline Queues with Spectral Parameters
JO  - Séminaire lotharingien de combinatoire
PY  - 2018
VL  - 80B
UR  - http://geodesic.mathdoc.fr/item/SLC_2018_80B_a45/
ID  - SLC_2018_80B_a45
ER  - 
%0 Journal Article
%A Erik Aas
%A Darij Grinberg
%A Travis Scrimshaw
%T Multiline Queues with Spectral Parameters
%J Séminaire lotharingien de combinatoire
%D 2018
%V 80B
%U http://geodesic.mathdoc.fr/item/SLC_2018_80B_a45/
%F SLC_2018_80B_a45
Erik Aas; Darij Grinberg; Travis Scrimshaw. Multiline Queues with Spectral Parameters. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a45/