Geodesic
Realization of Kirillov-Reshetikhin Crystals B1,s for sl^n Using Nakajima Monomials
Séminaire lotharingien de combinatoire, 78B (2017)

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We give a realization of the Kirillov-Reshetikhin crystal B1,s for sl^n using Nakajima monomials using the crystal structure given by Kashiwara. We describe the tensor product \bigotimesi=1N B1,si in terms of a shift of indices, allowing us to recover the Kyoto path model. We give a description of the limit of the coherent family of crystals {B1,s}s=1\infty using Nakajima monomials, which allows us to recover the path model for B(\infty). Additionally, we realize the KR crystals Br,1 for sl^n using Nakajima monomials. 

@article{SLC_2017_78B_a46,
     author = {Emily Gunawan and Travis Scrimshaw},
     title = {Realization of {Kirillov-Reshetikhin} {Crystals} {B1,s} for sl^n {Using} {Nakajima} {Monomials}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {78B},
     year = {2017},
     url = {http://geodesic.mathdoc.fr/item/SLC_2017_78B_a46/}
}
TY  - JOUR
AU  - Emily Gunawan
AU  - Travis Scrimshaw
TI  - Realization of Kirillov-Reshetikhin Crystals B1,s for sl^n Using Nakajima Monomials
JO  - Séminaire lotharingien de combinatoire
PY  - 2017
VL  - 78B
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2017_78B_a46/
ID  - SLC_2017_78B_a46
ER  - 
%0 Journal Article
%A Emily Gunawan
%A Travis Scrimshaw
%T Realization of Kirillov-Reshetikhin Crystals B1,s for sl^n Using Nakajima Monomials
%J Séminaire lotharingien de combinatoire
%D 2017
%V 78B
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a46/
%F SLC_2017_78B_a46
Emily Gunawan; Travis Scrimshaw. Realization of Kirillov-Reshetikhin Crystals B1,s for sl^n Using Nakajima Monomials. Séminaire lotharingien de combinatoire, 78B (2017). http://geodesic.mathdoc.fr/item/SLC_2017_78B_a46/