Rigged configurations of type $D_4^{(3)}$ and the filling map

We give a statistic preserving bijection from rigged configurations to a tensor product of Kirillov–Reshetikhin crystals $\otimes_{i=1}^{N}B^{1,s_i}$ in type $D_4^{(3)}$ by using virtualization into type $D_4^{(1)}$. We consider a special case of this bijection with $B=B^{1,s}$, and we obtain the so...

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Hlavní autor: Travis Scrimshaw
Médium: Článek
Jazyk:English
Vydáno: Discrete Mathematics & Theoretical Computer Science 2015-01-01
Edice:Discrete Mathematics & Theoretical Computer Science
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On-line přístup:https://dmtcs.episciences.org/2494/pdf